Scholastic Achievement and Demographic Characteristics of Home School Students in 1998 Lawrence M. Rudner ERIC Clearinghouse on Assessment and Evaluation College of Library and Information Services University of Maryland, College Park Abstract           This report presents the results of the largest survey and testing program for students in home schools to date. In Spring 1998, 20,760 K-12 home school students in 11,930 families were administered either the Iowa Tests of Basic Skills (ITBS) or the Tests of Achievement and Proficiency (TAP), depending on their current grade. The parents responded to a questionnaire requesting background and demographic information. Major findings include: the achievement test scores of this group of home school students are exceptionally high--the median scores were typically in the 70th to 80th percentile; 25% of home school students are enrolled one or more grades above their age-level public and private school peers; this group of home school parents has more formal education than parents in the general population; the median income for home school families is significantly higher than that of all families with children in the United States; and almost all home school students are in married couple families. Because this was not a controlled experiment, the study does not demonstrate that home schooling is superior to public or private schools and the results must be interpreted with caution. The report clearly suggests, however, that home school students do quite well in that educational environment.           By current estimates, there are between 700,000 and 1,200,000 students enrolled in home schools in the United States. Further, by all accounts, the movement has been growing steadily over the past few years (Lines, 1998). Yet, there is very little scientific literature concerning the population of home school students or even large samples of home school students.           This study describes the academic achievement levels and some basic demographic characteristics of a large sample of students and their families. While the academic levels of home school students are described in terms of public and private school norms, this study is not a comparison of home schools with public or private schools. Such comparisons would be fraught with problems. Home schooling is typically one-on-one. Public schools typically have classes with 25 to 30 students and an extremely wide range of abilities and backgrounds. Home school parents are, by definition, heavily involved in their children's education; the same, unfortunately, is not true of all public or private school parents. Home schools can easily pace and adapt their curriculum; public and private schools typically have a mandated scope and sequence. The list of differences could continue.           This study seeks to answer a much more modest set of questions: Does home schooling tend to work for those who chose to make such a commitment? That is, are the achievement levels of home school students comparable to those of public school students? Who is engaged in home schooling? That is, how does the home school population differ from the general United States population? Methods           Bob Jones University Press Testing and Evaluation Service provides assessment services to home school students and private schools on a fee-for-service basis. In Spring 1998, 39,607 home school students were contracted to take the Iowa Tests of Basic Skills (ITBS; grades K-8) or the Tests of Achievement and Proficiency (TAP; grades 9-12). Students were given an achievement test and their parents were asked to complete a questionnaire entitled "Voluntary Home School Demographic Survey." A total of 20,760 students in 11,930 families provided useable questionnaires with corresponding achievement tests. The achievement test and questionnaire results were combined to form the dataset used in this analysis.           This section provides descriptions of the achievement measures, the questionnaires, the Bob Jones University Press Testing and Evaluation Service, and the procedures used to develop the dataset. Iowa Tests of Basic Skills (ITBS)           Home schooled students in Grades K-8 took the Iowa Tests of Basic Skills (ITBS) Form L, published by Riverside Publishing Company, a subsidiary of Houghton Mifflin. Developed by University of Iowa professors, the tests were designed and developed to measure skills and standards important to growth across the curriculum in the nation's public and private schools.           The ITBS reflects more than 50 years of test development experience and research on measuring achievement and critical thinking skills in Reading, Language Arts, Mathematics, Social Studies, Science, and Information Sources. The scope and sequence of the content measured by the ITBS were developed after careful review of national and state curricula and standards, current textbook series and instructional materials, and research (Riverside, 1993).           All items were tried out and tested for ethnic, cultural, and gender bias and fairness prior to the development of the final form of the tests. Data on a nationally representative sample of public and private schools were collected in 1992 and used to form the initial national norms. The norms were updated in 1995 by Riverside. This study used these 1995 spring norms. Tests of Achievement and Proficiency (TAP)           Home schooled students in Grades 9-12 took the Tests of Achievement and Proficiency (TAP), Form L, also published by Riverside Publishing Company. The TAP was designed and developed to measure skills and standards important to growth across the high school curriculum. Like the ITBS, the TAP scope and sequence were developed after careful review of national and state curricula and standards, and current textbook series and instructional materials. Developed as an upward extension of the ITBS, the specifications, format, and design of the TAP tests are similar to that of the ITBS. TAP is fully articulated with the Iowa Tests of Basic Skills (ITBS) Form L (Riverside, 1993). Background Questionnaires           Background questionnaires were designed by the staff of the Home School Legal Defense Association (HSLDA). Questions were determined by reviewing the questions in previous surveys, prioritizing them, and selecting only those that were most germane to the objectives of the study. Where possible, questions and responses were made to match those used by the U.S. Census, U.S. Department of Labor and the National Assessment of Educational Progress to facilitate comparisons of home school students with students nationwide.           HSLDA designed the survey to be much shorter than previous survey instruments. They also sought to pose all questions in an objective format, rather than a constructed response format. In keeping with this approach, HSLDA worked with National Computer Systems to design forms to be computer scanable, thereby removing the need for manual data processing. Bob Jones University Press Testing and Evaluation Service           The Bob Jones University (BJU) Press Testing and Evaluation Service is the largest and oldest of four organizations providing home school families access to standardized achievement tests. The Testing Service began offering the Iowa Tests of Basic Skills and Tests of Achievement and Proficiency in 1984. In subsequent years they added other helpful tools including practice materials, a personality inventory, and diagnostic tests. In 1993, the Stanford Achievement Test series was added as BJU Press assumed the testing that the Home School Legal Defense Association had been providing for its members. Since that time, a full range of writing evaluations (grades 3-12) and a career assessment have been added to the growing number of evaluation tools offered by the Testing Service.           Just as home school families were the impetus behind the start of the Testing Service, home school families continue to be the largest sector utilizing the service. However, there are also a number of private schools that have chosen to use the services provided. Testing is provided for students throughout the United States and Canada, as well as many foreign countries.           The BJU Press Testing and Evaluation Service sends testing materials to qualified testers who administer the tests and return them to the Testing Service for scoring. The results are then returned to the parent. Many parents test primarily for their own information to verify that their home schooled students are progressing academically at a normal pace. Other parents use the results to meet a state testing requirement or to provide documentation when they choose to return their students to a public or private school setting. Data Generation Procedures           The following steps were followed to produce the data set: Parents contracted with Bob Jones University to be administered the Iowa Tests of Basic Skills or the Tests of Achievement Proficiency (39,607 students in probably 22,000 families). Bob Jones certified test administrators, many of whom were the students' parents. BJU sent questionnaires and answer forms to the test administrators. Tests and questionnaires were returned to BJU. BJU bundled the tests and sent them to Riverside Publishers for machine scoring. BJU bundled the questionnaires and sent them to National Computer Systems for scanning. Unlike in previous studies, the parents did not know their scores ahead of time. Electronic copy of the 23,415 test results and 23,311 questionnaire results were sent to the author of this report. These sets were merged to provide 20,900 cases with matching identification numbers. In order to weight by state public school enrollment, 140 cases with missing state data were dropped. A total of 20,760 students formed the initial dataset used in the study. After we formed the dataset with 20,760 students, we asked for the remainder of the 39,607 achievement test scores. We were informed that it would not be possible to disaggregate the remaining home school students from students in private schools also contracting testing services. Characteristics of Home School Students and Families           This section provides a description of home school students and their families based on the 20,790 respondents to our questionnaire. The distribution of students by state, gender, age, race, parent marital status, family size, mother's religion, parent education, family income, television viewing, money spent on educational materials, and other demographic characteristics are identified and, where possible, compared to national figures. State           As shown in Table 2.1, respondents came from each of the fifty states. Several states, including Ohio, Georgia, and Virginia, have exceptionally high representation given their size. This is probably due to the fact that these states require testing of home school students. To reduce the effects of these and other overrepresented states, the data were weighted in all subsequent analyses by the number of public school students in each state. While we would have preferred to weight by the number of home schooled students in each state, such data are not available for all 50 states (Lines, 1998). Table 2.1 Participating Home School Students Classified by State State Freq.   Percent of sample AK 61 .3% AL 181 .9 AR 42 .2 AZ 201 1.0 CA 815 3.9 CO 810 3.9 CT 54 .3 DC 17 .1 DE 28 .1 FL 860 4.1 GA 1547 7.4 GU 10 .0 HI 112 .5 IA 234 1.1 ID 28 .1 IL 451 2.2 IN 533 2.6 KS 319 1.5 KY 163 .8 LA 551 2.7 MA 343 1.6 MD 196 .9 ME 109 .5 MI 523 2.5 MN 794 3.8 MO 361 1.7 MS 25 .1 State Freq.   Percent of sample MT 112 .5 NC 972 4.7 ND 100 .5 NE 126 .6 NH 176 .8 NJ 324 1.6 NM 189 .9 NV 53 .3 NY 942 4.5 OH 2484 11.9 OK 382 1.8 OR 67 .3 PA 532 2.6 PR 8 .0 RI 32 .2 SC 579 2.8 SD 27 .1 TN 322 1.5 TX 1126 5.4 UT 35 .2 VA 1608 7.7 VI 2 .0 VT 59 .3 WA 787 3.8 WI 246 1.2 WV 92 .4 WY 40 .2 Student Age and Gender           Table 2.2 shows the distribution of the respondents by gender and age. About 50.4% or 10,471 of the respondents were females; 49.6% (10,319) were males. These figures are comparable to that of the population of 3 to 34 years old enrolled in school (see U.S. Bureau of the Census, 1998, Table A-2). Some 51.4% of school enrollees nationally are male. The percentages are comparable at all age levels. Table 2.2 Participating Home School Students Classified by Gender and Age   Age at time of testing (in years)   6 7 8 9 10 11 12 13 14 15 16 17 Females 507 879 1148 1318 1301 1248 1049 936 774 516 264 119   56.1% 51.7% 50.2% 49.2% 52.4% 50.6% 47.2% 50.5% 50.7% 51.0% 49.3% 57.5% Males 397 820 1141 1360 1181 1216 1174 918 754 495 271 88   43.9% 48.3% 49.8% 50.8% 47.6% 49.4% 52.8% 49.5% 49.3% 49.0% 50.7% 42.5% Total 904 1699 2289 2678 2482 2464 2223 1854 1528 1011 535 207 Student Grade           Home school student grade placement was identified by their parents, presumably based on the grade level of the instructional materials. That grade was used by BJU to determine the test levels and used in this report as a grouping variable. Tables 2.3 shows the distribution of respondents and the nation by grade. There is a large difference in the proportions of high school (grades 9-12) home school students and the nation. Compared to the national data, a relatively small percentage of home school students are enrolled in high school. Possible reasons for this lower participation for high school students may be the relative newness of the home school movement, early graduation from high school, and possibly a desire on the part of some home school parents to enroll their children in a traditional high school. The distributional differences for students in grades 1 through 8 are minor. Table 2.3 Home School Students Classified by Grade with Percents and National School Percents Grade   1 2 3 4 5 6 7 8 9 10 11 12 Home school 7.4% (1504) 10.6% (2153) 14.1% (2876) 12.9% (2625) 12.6% (2564) 11.9% (2420) 10.3% (2087) 8.8% (1801) 5.7% (1164) 3.8% (775) 1.6% (317) 0.3% (66) Nation 9.1% 8.8% 8.9% 8.7% 8.6% 8.7% 8.7% 8.4% 9.0% 7.9% 7.1% 6.3% National data: US Census, 1997b, Table 254. Student Race           Table 2.4 shows the racial distribution of home school students in 1998 and for the students enrolled in elementary and secondary public and private schools nationally in 1994. The distributions are quite different. The vast majority of home schooled children are non-Hispanic White. The largest minority groups for home school students (not shown in the table) are American Indians and Asian students who comprise some 2.4% and 1.2% of the home school students, respectively. Table 2.4 Racial Distribution of Home School Students And the Nation, in Percents White (not Hispanic) Black (not Hispanic) Hispanic Other Home school 94.0% 0.8% 0.2% 5.0% Nationwide 67.2% 16.0% 13.0% 3.8% (National data: USDE, 1996; Indicator 27)   Marital Status           The great majority of home school students are in married couple families. In contrast, only 72% of the families with at least one child enrolled in school nationwide are in married couple families (Bruno and Curry, 1997, Table 19). Table 2.5 Home School Students Classified by Parents' Marital Status   Marital Status Frequency Percent Divorced 80 0.7% Single (never married) 44 0.4 Married 11,335 97.2 Separated 131 1.1 Widowed 55 0.5 Missing data 16 0.1   11,661 100.0% Children at Home           Table 2.6 shows the distribution of children in home school families and families with children under 18 nationwide. On average, home school students are in larger families. Nationwide, most families with school-age children (79.6%) have only 1 or 2 children with a mean of about 1.9 children per family. Most home school families (62.1%) have 3 or more children with a mean of about 3.1 children per family. Table 2.6 Home School Families Classified by Family Size with National Comparison Home School Families Nationwide Number of Children Percent Number of Children Percent 1 8.3% 1 40.8% 2 29.6 2 38.8 3 28.6 3 14.3 4 18.6 4 or more 6.1 5 8.4 6 3.9   7 or more 2.6   National Data: US Census, 1997a, Table 77 Mother's Religion           We asked the home school families to identify the religious preference of each student's mother by selecting from a list of 27 religions. As shown in Table 2.7, the largest percentage of mothers identified themselves as Independent Fundamental, Baptist, Independent Charismatic, Roman Catholic, Assembly of God, or Presbyterian. The religious preference of the father was the same as that of the mother 93.1% of the time. Table 2.7 Home School Students Classified by Mother's Religion   Frequency Percent Independent Fundamental 5,119 25.1% Baptist 5,072 24.4 Independent Charismatic 1,681 8.2 Roman Catholic 1,106 5.4 Assembly of God 838 4.1 Presbyterian 772 3.8 Reformed 685 3.4 Other Protestant 500 2.5 Pentecostal 459 2.2 Methodist 420 2.1 Lutheran 353 1.7 Other Christian 2,213 10.9 Other 1,572 6.2   Total 20,790 100.0% Parent Academic Attainment           As shown in Table 2.8, home school parents have more formal education than the general population. While slightly less than half of the general population attended or graduated from college, almost 88% of home school students have parents who continued their education after high school. Table 2.8 Distribution of Home School Students and Students Nationally Classified by Parent Academic Attainment   Percent   Did not finish high school High school graduate Some college, no degree Associate degree Bachelors degree Masters degree Doctorate     Home school fathers 1.2%     9.3%     16.4%    6.9%     37.6%    19.8%    8.8%       Nation males   18.1      32.0      19.5      6.4       15.6      5.4       3.1           Home school mothers 0.5       11.3      21.8      9.7       47.2      8.8       0.7         Nation females   17.2      34.2      20.2      7.7       14.8      4.5       1.3                     National data: U.S. Census (1996; Table 8)   Family Income           National data on family income are available for 1995. As shown in Table 2.9, home school families span all income levels. On average, home school families have a higher income level than do families with children nationwide and all families nationwide. The median family income level for home school families in 1997 is about $52,000. The median income for families with children in 1995, nationwide, was about $36,000. Table 2.9 Distribution of Family Income for Home School Families, Families with Children Nationwide, and All Families Nationwide by Income Levels, in Percents.     Home school Families with children All families Less than $10,000 0.8% 12.6% 10.5% $10,000 to $14,999 1.5     8.0     8.5     $15,000 to $19,999 2.2     6.1     6.8     $20,000 to $24,999 3.9     7.6     8.4     $25,000 to $29,999 4.9     7.5     7.8     $30,000 to $34,999 8.5     7.5     7.6     $35,000 to $39,999 8.1     7.1     7.0     $40,000 to $49,999 16.0     11.3     11.0     $50,000 to $74,999 32.5     18.4     18.1     $75,000 and over 21.6     13.8     14.3     National data: Bruno and Curry (1997, Table 19) Television Viewing           The National Assessment of Educational Progress collects information on the television viewing habits of fourth-graders. Home school fourth-graders and fourth-graders nationally differ markedly in terms of television viewing. Home school students rarely watch more than 3 hours of television per day; nearly 40% of the students nationwide watch that much television. Table 2.10 Fourth-grade students Classified by Hours of Television Viewing   Percent of students 6 or more hours per day 4 to 5 hours per day 2 to 3 hours per day 1 hour or less per day Home school 0.1%   1.6      33.1      65.3      Nationwide 19.0%   19.5       36.4       25.1       National data: NAEP Math 1997 Computer Use           The Condition of Education provides a tabulation of the percent of students nationwide who report using a computer by frequency of use for 4th, 8th, and 11th graders in 1996. At each grade level, the distribution of computer use in 1998 by home school students is different from that of the nation in 1996. At each of these three grade levels, much larger percentages of home school students never use a computer. At the fourth-grade level, a much larger percent of home school students use a computer every day. Table 2.11 Computer Use among Home School Students and Students Nationwide in Grades 4, 8, and 11, in Percent   Grade 4 Grade 8 Grade 11 Home school Nationwide Home school Nationwide Home school Nationwide Never 28.2%   11.4%   37.1%   23.3%   40.5 %  16.0%   Less than once a week 29.4     16.3     28.9     29.2     28.9     34.2     Several times a week 21.6     62.5     18.0     30.7     17.5     31.8     Every day 20.8    9.9     16.0    16.7    13.1    18.1    National Data: Snyder and Wirt, 1998, Indicator 3. Money Spent on Educational Materials           The amount of money spent in 1997 on home school education for textbooks, lesson materials, tutoring and enrichment services, and testing ranged from less than $200 to more than $2000. As shown in Table 2.12, the median amount of money spent was about $400. Table 2.12 Home School Students Classified by Money Spent On Home School Education in 1997 Amount Frequency Percent <$200 3,718 17.9% 200-399 7,035 33.8     400-599 4,467 21.5     600-799 1,962 9.4     800-999 985 4.7     1,000-1,599 1,630 7.8     1,600-1,999 247 1.2     >2,000 411 2.0     Missing 336 1.6     Total 20,790 100.0%   Other Demographic Characteristics           Compared to the nation, a much larger percentage of home school mothers are stay-at-home mothers not participating in the labor force. Some 76.9% of home school mothers do not work for pay. About 86.3% that do work do so part time. Nationwide, in 1996, only 30% of married women with children under 18 did not participate in the labor force (US Dept of Census, 1997a, Table 632).           A very large percentage of home school parents are certified to teach. Some 19.7% of the home school mothers are certified teachers; 7.1% of fathers. Almost one out of every four home school students (23.6%) has at least one parent who is a certified teacher.           Only 7.7% of the respondents were enrolled in a full-service curriculum program, i.e., a program that serves students and their parents as a "one-stop" primary source for textbooks, materials, lesson plans, tests, counseling, evaluations, record keeping, and the like for the year's core required subjects such as language, social studies, mathematics, and science. Academic Achievement           The complete batteries of The Iowa Tests of Basic Skills (ITBS) and the Tests of Achievement and Proficiency (TAP) were used to assess student achievement in basic skills. The ITBS was used for home school students in Grades K-8; the TAP for students in grades 9-12. Almost all students took Form L; a handful took parallel Form K.           Achievement test batteries like the ITBS and TAP are a collection of tests in several subject areas that have been standardized and normed. Norms for all tests within these test batteries are based on the same group of students at each grade level. Such norms allow students to be compared with other students and groups to be compared with other groups.           The primary purpose of the ITBS and TAP is to assess the academic achievement of students in public and private schools. Consequently, much of the test development effort is devoted to identifying the content to be covered by these batteries. Riverside Publishers follow a four step process: 1) content specifications, 2) editorial review, 3) pilot testing, and 4) national norms development and updating.           The first and most critical step is developing content specifications and writing test items. This step involves the experience, research, and expertise of a large number of professionals representing a wide variety of specialties in the education community. Specifications are developed which outline the grade placement and emphasis of skills. These specifications draw heavily on an analysis of textbooks, research studies, nationally developed subject matter standards, and national curriculum committees.           Once the items have been developed and pilot tested, the final forms of the tests are developed and administered to large standardization samples to gather normative data and to develop scales.           The spring standardization sample for the 10 levels of the ITBS consisted of approximately 137,000 students from public schools, Catholic schools and private non-Catholic schools. The public school sample was stratified to assure adequate representation based on geographic region, district enrollment, socioeconomic status of the district. The Catholic school sample was stratified on geographic region and diocese enrollment. The non-Catholic private school sample was stratified on region and school type. The spring standardization sample for the four levels of the TAP consisted of approximately 20,000 students stratified on the same variables. National norms were developed based on the combined weighted distributions of all three school types: public, Catholic and non-Catholic private. Catholic/private school norms were developed based on the combined weighted distributions of the latter two groups. For simplicity, the combined public, Catholic and non-Catholic private school norms are referenced in this report as national norms or public/private school norms.           The data from the standardization sample are used to develop a variety of reporting scales, such as percentiles and grade equivalent scores. The analyses in this report rely primarily on the Developmental Standard Score (DSS) scale developed by Riverside Publishers. The DSS is a number that describes a student's location on an achievement continuum that spans grades K through 12. Table 3.1 shows the median DSS and median age that corresponds to each grade level in the national standardization sample. The DSS scale shows that the average annual growth in DSS units decreases each year. Table 3.1 Median Developmental Scaled Scores and Median Age for the ITBS/TAP Spring National Standardization Sample Grade K 1 2 3 4 5 6 7 8 9 10 11 12 DSS 130 150 168 185 200 214 227 239 250 260 268 275 280 Age 6.1 7.2 8.2 9.3 10.2 11.2 12.2 13.2 14.2 15.2 16.2 17.2 18.1 Source for age medians: Drahozal (1998, personal communication)           This same DSS scale is used for all tests and levels of the ITBS and TAP. The main advantages of the DSS are that it mirrors reality well, spans all grade levels, and provides a quasi equal interval scale which has a variety of attractive statistical properties. Most importantly, DSS scores can be compared to each other and can be meaningfully averaged.           The main disadvantage of DSS scores is that they have no built-in meaning. Reference points are needed to interpret DSS scores. "Grade level" is one possible reference point. A DSS score of 170 in reading, for example, is about equal to the typical reading score for second-grade students in public and private schools in the spring of the year. A more refined reference is the percentile score that corresponds to each DSS score. The 170 in reading, for example, corresponds to the 54th percentile of second graders. That is, this score is better than the score received by 54 percent of the second graders using the 1995 spring norms.           The reader should note that while all tests of the ITBS/TAP have the same median DSS score at each grade level, the distributions within each subject area vary. A DSS score of 310 for a tenth grader in reading, for example, corresponds to the 87th percentile. A DSS score of 170 in mathematics for a tenth grader would place the student at the 79th percentile.           Percentiles are always defined in terms of a grade level. This can be problematic when analyzing data for home school students. In this study, 24.5% of the home school students were one or more grades above the grade usually associated with that student's age (see Table 3.2). A strong case can be made that rather than using the percentile corresponding to the enrolled grade, as we did in this study, one should use the percentile associated with the student's nominal grade, i.e., the grade usually associated with the student's age. The argument is that a 10-year-old home school student enrolled in 5th grade should be compared to his age peers in 4th grade. The counter argument is that the percentiles already consider the fact that students are not always in their nominal grade since the standardization sample had students above and below grade level. We initially analyzed the data both ways. Rather than expose our analysis to criticism, we chose to take the more conservative route by employing the enrolled grade.           While very meaningful, percentiles do not provide a complete picture of a student's or group's academic performance. In this study, we used grade equivalent scores as an additional reference point for interpreting DSS scores. A grade equivalent score approximates a child's development in terms of grade and month within grade. A DSS reading score of 170 can be viewed as the typical DSS score earned by students in the ninth month of the second grade or a GES score of 2.9. Just as the percentile associated with a DSS scores varies by subtest, so do the properties of GES scores vary across subjects.           Grade Equivalent Scores are particularly useful for estimating a student's developmental status in terms of grade. But, these scores must be interpreted carefully. An GES Score of 6.3 in reading for an 9 year old in the 3rd grade, for example, clearly indicates that the third grader is doing well. This does not, however, mean that the third grader belongs in the 6th grade. It only means that the third grader can read as well as a sixth grader.           The usual interpretation of a Grade Equivalent Score of 6.3 for a third grader is that this third grade student can read third grade material as well as a sixth grader can read third grade material, not that he or she can read sixth grade material. The DSS of the ITBS/TAP, however, is unique. The DSS scales were developed by administering the same special scaling test to students in grades K-3, another common scaling test to students in grades 3 to 9, and another to students in grades 8-12. Thus, in the scaling study, the third graders did take the same test as the sixth graders in each subject area.   Grade Placement           Home school students are able to progress through instructional material at the student's rate. Thus, it is easy for home school students to be enrolled one or more grades above their public and private school-age peers. To evaluate the frequency of advanced placement, we compared students' enrolled and nominal grades. The enrolled grade was identified by the parents and used to determine the ITBS/TAP level. The nominal grade is the public school grade in which the student would normally be enrolled in based on the child's month and year of birth.           As shown in Table 3.2, almost one fourth of the home school students (24.5%) are enrolled one or more grades above their nominal grade. While comparable figures nationally do not exist, one research director in a large school district estimated that less than 5% of their students are enrolled above grade level. Table 3.2 Home School Students Classified by Discrepancy Between Enrolled and Nominal Grade Enrolled minus Nominal Grade Frequency Percent -2 58 0.3% -1 1,019 5.1 0 13,931 69.8 +1 4,637 23.2 +2 199 1.0 +3 58 0.3 Percentages do not sum to 100% due to a small percentage of students outside this range. Overall Achievement           Table 3.3 shows the median scaled score (DSS score) for home school students on the Composite with Computation, Reading Total, Language, Mathematics Total with Computation, Social Studies, and Science subtest scores by grade. The corresponding percentiles shown in the table are the within grade percentile scores for the nation that correspond to the given scaled scores. For example, home school students in Grade 3 have a median composite scaled score of 207 which corresponds to the 81st percentile nationwide. The median home school student in third grade out- performs 81% of the third graders nationwide. As an additional comparison, we provide the national median for each grade in the last column. By definition this is the 50th percentile of students nationwide. Table 3.3 Median Scaled Scores (corresponding national percentile) by Subtest and Grade for Home School Students Grade N Composite Reading Language Math Soc. Stud. Science National Median 1 1504 170 (91) 174 (88) 166 (82) 164 (81) 166 (80) 164 (78) 150 (50) 2 2153 192 (90) 196 (89) 186 (80) 188 (85) 189 (81) 195 (86) 168 (50) 3 2876 207 (81) 210 (83) 195 (62) 204 (78) 205 (76) 214 (83) 185 (50) 4 2625 222 (76) 228 (83) 216 (67) 220 (76) 216 (68) 232 (81) 200 (50) 5 2564 243 (79) 244 (83) 237 (69) 238 (76) 236 (71) 260 (86) 214 (50) 6 2420 261 (81) 258 (82) 256 (73) 254 (76) 265 (81) 273 (84) 227 (50) 7 2087 276 (82) 277 (87) 276 (77) 272 (79) 276 (79) 282 (81) 239 (50) 8 1801 288 (81) 288 (86) 291 (79) 282 (76) 290 (79) 289 (78) 250 (50) 9 1164 292 (77) 294 (82) 297 (77) 281 (68) 297 (76) 292 (73) 260 (50) 10 775 310 (84) 314 (89) 318 (84) 294 (72) 318 (83) 310 (79) 268 (50) 11 317 310 (78) 312 (84) 322 (83) 296 (68) 318 (79) 314 (77) 275 (50) 12 66 326 (86) 328 (92) 332 (85) 300 (66) 334 (84) 331 (82) 280 (50)           It is readily apparent from Table 3.3 that the median scores for home school students are well above their public/private school counterparts in every subject and in every grade. The corresponding percentiles range from the 62nd to the 91st percentile; most percentiles are between the 75th and the 85th percentile. The lowest percentiles are in Mathematics Total with Computation subtest (labeled Math in the tables); the highest in Reading Total. While the grade-to-grade increase in national medians is 13 DSS points in the lower grades, the annual increase for home school students is about 16 points. These are exceptional scores and exceptional grade-to-grade gains.           As shown in Table 3.4, the same superiority of median scaled scores holds when comparing home school students to students enrolled in Catholic/Private schools. The Catholic/Private school percentiles corresponding to median scaled scores range from the 53rd percentile to the 89th percentile; most are between the 65th to 75th percentile. In every area and every grade, the median scores for home school students exceed the median scores of students enrolled in Catholic/Private schools. Table 3.4 Median Scaled Scores of Home School Students (Corresponding Catholic/Private School Percentile) by Subtest and Grade Grade Composite Reading Language Math Soc. Stud. Science 1 170 (89) 174 (86) 166 (80) 164 (80) 166 (73) 164 (75) 2 192 (88) 196 (84) 186 (74) 188 (81) 189 (81) 195 (85) 3 207 (74) 210 (74) 195 (55) 204 (71) 205 (69) 214 (80) 4 222 (72) 228 (72) 216 (58) 220 (69) 216 (56) 232 (76) 5 243 (71) 244 (72) 237 (60) 238 (68) 236 (60) 260 (82) 6 261 (71) 258 (71) 256 (58) 254 (65) 265 (72) 273 (77) 7 276 (72) 277 (77) 276 (63) 272 (70) 276 (68) 282 (73) 8 288 (72) 288 (75) 291 (65) 282 (68) 290 (68) 289 (67) 9 292 (63) 294 (70) 297 (61) 281 (56) 297 (63) 292 (59) 10 310 (71) 314 (81) 318 (71) 294 (57) 318 (72) 310 (66) 11 310 (63) 312 (72) 322 (69) 296 (56) 318 (67) 314 (63) 12 326 (74) 328 (81) 332 (71) 300 (53) 334 (74) 331 (72)           The relationship between median composite scaled scores for home school students, Catholic/Private school students, and the nation is shown in the Figure 1. At each grade level, the test performance of Catholic/Private school students is above the national performance levels, especially in the higher grade levels. Also at each grade level, the performance of home school students is above the performance levels of students enrolled in Catholic/Private schools. The differences between these groups are considerable. For example, the median score for 7th graders nationwide is 239; for Catholic/Private school students the median is 257; for home school students the median is 276. Another way to look at this chart is to examine the grades corresponding to a given composite score. A composite scale score of 250, for example, is typical of a home school student in Grade 6, a Catholic/Private school student in Grade 7 and students nationwide in the later stages of grade 8. Figure 1. Academic Achievement of Home School, Catholic/Private and the Nation's Students           The Grade Equivalent Scores (GES) corresponding to the median DSS scaled scores for home school students are shown in Table 3.5. These GES scores indicate the performance levels of home school students in terms of student grade placement nationwide. The median composite scaled score for fourth-grade home school students, for example, is 217. This is comparable to the median score expected of students nationwide in the ninth month of fifth grade. Compared to students nationwide, the median fourth-grade home school student test performance is 1.1 grade equivalents above his public/private school peers. By 8th grade, the median performance of home school students on the ITBS/TAP is almost four grade equivalents above that of students nationwide. Similar trends hold for all subject areas.           The reader should recognize that the grade equivalent scale tends to magnify differences at the high school level and that the percentile scale is more meaningful in these higher grades. While 50% of eighth grade home school students have scores that are 4 grade equivalents above the public school median, so do some 20% of eighth grade students in public schools. The revealing statistics are the percentiles which are consistently high across grade levels and subject areas. Table 3.5 Median Scaled Scores (corresponding Grade Equivalent Scores) by Subtest and Nominal Grade for Home School Students Grade Composite Reading Language Math Soc. Stud. Science National Median 1 170 ( 2.9) 174 ( 3.1) 166 ( 2.6) 164 ( 2.6) 166 ( 2.7) 164 ( 2.6) 150 ( 1.8) 2 192 ( 4.1) 196 ( 4.5) 186 ( 3.8) 188 ( 4.0) 189 ( 4.0) 195 ( 4.5) 168 ( 2.8) 3 207 ( 5.1) 210 ( 5.5) 195 ( 4.4) 204 ( 5.2) 205 ( 5.1) 214 ( 5.8) 185 ( 3.8) 4 222 ( 6.2) 228 ( 6.9) 216 ( 5.9) 220 ( 6.4) 216 ( 5.9) 232 ( 7.3) 200 ( 4.8) 5 243 ( 8.3) 244 ( 8.3) 237 ( 7.6) 238 ( 7.7) 236 ( 7.6) 260 ( 9.8) 214 ( 5.8) 6 261 (10.1) 258 ( 9.6) 256 ( 9.4) 254 ( 9.1) 265 (10.4) 273 (11.6) 227 ( 6.8) 7 276 (11.9) 277 (12.0) 276 (11.9) 272 (11.3) 276 (11.9) 282 (12.5) 239 ( 7.8) 8 288 (12.9) 288 (12.9) 291 ( - ) 282 (12.5) 290 ( - ) 289 ( - ) 250 ( 8.8) 9 292 ( - ) 294 ( - ) 297 ( - ) 281 (12.4) 297 ( - ) 292 ( - ) 260 ( 9.8) 10 310 ( - ) 314 ( - ) 318 ( - ) 294 ( - ) 318 ( - ) 310 ( - ) 268 (10.8) 11 310 ( - ) 312 ( - ) 322 ( - ) 296 ( - ) 318 ( - ) 314 ( - ) 275 (11.8) 12 326 ( - ) 328 ( - ) 332 ( - ) 300 ( - ) 334 ( - ) 331 ( - ) 280 (12.8)       (The - sign indicates the scaled scores are beyond the effective range for GES conversion.)             The grade equivalent score comparisons for home school students and the nation are shown in Figure 2. In grades one through four, the median ITBS/TAP composite scaled scores for home school students are a full grade above that of their public/private school peers. The gap starts to widen in grade five. By the time home school students reach grade 8, their median scores are almost 4 grade equivalents above their public/private school peers. Figure 2. Home School Students Compared to the National Norm Group in Grade Equivalent Units   Years of Home Schooling           Almost half of the respondents (47%) indicated that they have been home schooled for each grade prior to their current grade, i.e., their entire academic life. Table 3.6 shows that students who are home schooled for their entire academic life do better than students who have been home schooled for only a few years (F academic life =108.2; df=1,9750; p<.01). There is also a significant interaction between grade and years home schooled (F=7.4; df=9,9750, p< .01), indicating that the effectiveness of home schooling varies with the student's grade. The differences are most meaningful starting in Grade 6.           [All F ratios reported here are from a two-way analysis of variance with composite scaled scores as the dependent measure, grade as a blocking variable, and one independent variable. Because the students are within families, the dataset was trimmed by randomly selecting one child from each family. Had the full dataset been used, the variance of the children within a family would have been artificially smaller than the variance of among children in the population of inference. This would have increased the risk of Type I error, showing significance when significance may not be so. To assure adequate cell sizes, the analyses were also restricted to Grades 1 through 10. A statistically significant difference only means that there is evidence of a difference in population values. The difference may be small and not meaningful. "n.s." is used to indicate not significant.]           One reviewer questioned whether this significant difference was due to life-long home schooling or was life-long home schooling serving as a proxy for parent education or income. The correlation of life-long home schooling and whether either parent has a college degree is .12, indicating there is some, but not a great deal of overlap between these variables. The correlation with income level was .02, indicating no relationship. Thus, whether a student is home schooled his or her entire life appears to be significantly related to achievement. Table 3.6 Composite Scale Score Mean, Standard Deviation and Corresponding Percentile by Number of Grades Home Schooled and Grade Grade 1 2 3 4 5 6 7 8 9 10 Home schooled entire academic life Mean 170 195 208 224 244 265 278 291 300 314 sd 12 16 17 20 23 23 25 26 27 23 N 479 743 863 608 552 444 319 242 159 100 %ile 92 95 85 81 82 85 83 84 83 86 Home schooled some grades Mean 168 192 206 222 241 256 270 282 288 299 sd 11 15 18 20 24 26 27 30 30 32 N 221 428 616 666 681 688 628 608 436 287 %ile 90 92 82 79 79 78 77 78 73 75 Difference 2 3 2 2 3 9 8 9 12 15 [The percentiles (%ile) shown in this and the following tables are the within-grade percentiles corresponding to the mean composite scale scores, differences and ranges refer to differences in and ranges of mean composite scale scores, sd refers to standard deviation, N is the number of students within each cell.]   Enrolled in a Full-Service Curriculum           There is no significant difference in the mean composite scaled scores of home school students enrolled in a full-service curriculum and home school students not so enrolled. As shown in Table 3.7, the means are quite close at all grade levels (F enrollment=.24; df=1,9750; n.s.). Table 3.7 Composite Scale Score Mean, Standard Deviation and Corresponding Percentile by Full-service Curriculum Status and Grade Grade 1 2 3 4 5 6 7 8 9 10 Not enrolled in a full-service curriculum Mean 170 194 207 223 243 260 272 284 291 302 sd 12 15 17 20 23 25 26 29 30 31 N 646 1109 1361 1214 1145 1042 847 771 495 320 %ile 92 94 83 80 81 81 79 79 76 78 Enrolled in a full-service curriculum Mean 167 199 209 220 241 256 272 286 289 306 sd 13 17 18 21 24 29 31 30 30 28 N 54 63 118 60 89 89 101 79 100 67 %ile 89 97 86 76 79 78 79 80 74 81 Difference 3 -5 -2 3 2 4 0 -2 -2 -4   Student Gender           There are no significant differences in the achievement levels of male versus female home school students (F for gender=.01; df=1,9750; n.s.). As shown in Table 3.8, the means are virtually identical at all grade levels. Table 3.8 Composite Scale Score Mean, Standard Deviation and Corresponding Percentile by Grade and Gender Grade 1 2 3 4 5 6 7 8 9 10 Males Mean 170 195 208 223 243 260 271 285 288 303 sd 12 15 18 19 23 25 26 30 33 33 N 355 576 749 639 600 597 479 428 294 181 %ile 92 95 85 80 81 81 78 80 73 78 Females Mean 169 193 207 223 242 260 274 284 293 303 sd 12 16 17 21 24 25 26 28 26 28 N 345 595 730 634 634 535 469 422 302 206 %ile 91 93 83 80 80 81 80 79 77 78 Difference 1 2 1 0 1 0 -3 1 -5 0   Money Spent on Educational Materials           There is a significant difference in the achievement levels of home school students depending on the amount of money