The Zellman and Quigley finding about parental support for college is one of the most important findings in recent research on high schools. Considering it, we decided for this report to take the next step and ask if the career magnet graduates were more successful in college. There is no difference in the rate at which students from comprehensive schools or career magnet programs begin college. We constructed a measure of college success by combining the number of credits earned by the time of the interview and whether they had declared a major.[13] Table 5.4 shows the result.
When the two variables are combined by standardizing each and summing, the correlation with career magnet assignment is .269, (p = .01). The effects are large and would be even larger if there were not "assignment errors" in our "experiment." In this sample, we selected only those students who had applied to the career magnets and either won the lottery and graduated from the career magnet, or lost the lottery and graduated from a comprehensive school. Unfortunately for our research, 11 of the students who entered comprehensive schools were later placed in career magnet programs, and since no record of program placement is kept, we did not learn this until we interviewed them. These students also have a high college success rate and make the relationship shown in Table 5.4 appear weaker than it would be if we had been able to omit the career magnet students from the control group.
As is often the case with good research, the questions that are answered raise new questions that are more interesting and often more difficult to understand. The questions asked about parental support seem straightforward--they seem to measure the family's financial resources and the parents' attitudes. Career magnets cannot possibly affect a family's finances, and it is hard to imagine how they could affect the attitudes of the parents more strongly than they affect the students' answers to any of the hundreds of questions asked about the student's attitudes and experiences. Zellman and Quigley pursue this analysis and find evidence that student commitment to a career, their sobriety, and the extent to which they press their parents for financial help[14] affect their parent's willingness to pay for college.
Zellman and Quigley also point out that the graduates, at the same time they were earning more college credits, were also working at higher paying jobs. We had an opportunity to observe the way in which career magnet students had been prepared for work. We "hired" the 30 students who participated in the life history interviews to come in as teams of career magnet graduates and comprehensive graduates in order to perform a group work exercise. The career magnet graduates came in on time, dressed for the office, and worked together much more effectively.
Career commitment and sobriety are affected by attending a career magnet. Zellman and Quigley's findings suggest that attending a career magnet, by changing a student in these ways and perhaps motivating them to press their parents for financial support for college, may cause their parents to change their behavior as well.
What can we make of this? There are several plausible hypotheses, but no easy way to test them.
There are no doubt other hypotheses one could offer. Whatever the explanation, there is an effect worth explaining here. The effect of graduating from a career magnet is perhaps most striking in terms of what Zellman and Quigley call "risk behavior." Table 5.5 shows the impact of attending a career magnet on alcohol consumption.
Zellman
and Quigley are correct in assuming that the randomized experiment eliminates
the need for controls on background factors. To be certain of this, Table 5.6
tests for the effects of bias. There is a bias introduced, not in the
randomization, but because the two types of schools differ in the type of
students who can graduate. Graduates of career magnet schools
had higher seventh-grade math scores than comprehensive graduates; almost none
of the career magnet graduates in our sample have very low math scores. Chapter
2 shows that the career magnet programs are academically more demanding;
however, Table 5.6 also shows that the presence of students with very low math
scores among the comprehensive school graduates does not explain any of the
difference in alcohol use. The regression shows that impact of the career
magnets is only significant in eleventh and twelfth grades and in the
postgraduate interview; in these grades, controlling on middle-school test
scores, ethnicity, and parents' educ`tion actually increases the effect of
career magnets. In Model II, in eleventh grade through postgraduate, graduates
who have high math scores actually drink more, not less, but the results are
not significant. In Model III, the multicolinearity among the four test scores
makes it impossible to interpret the coefficients, including the supposedly
statistically significant ones (in opposite directions!) for seventh- and
eighth-grade math scores for postgraduates, so we cannot conclude that middle
class graduates drank more than poorer graduates, but it does seem safe to
conclude that they do not drink less.
Career magnet attendance not only reduces alcnhol use; it also lowers the total risk scale scores (drinking, drugs, smoking, pregnancy, and fighting). Table 5.7 shows that controlling on background variables does not alter the impact of career magnet programs in reducing risk behaviors. (Combined risj behaviors are not measured separately for each year, so this table is in a different format.)
We were concerned that the lower levels of smoking, drinking, and pregnancy among career magnet graduates might be the result of the presence of a number of students from a Health Careers magnet; however, Table 5.8 shows that graduates of the three non-health career magnet schools also have lower rates than do graduates from comprehensive high schools. Tables 5.9 and 5.10 show similar results for respondents' perceptions of parental support for their college education and number of college credits earned. Again, controlling on background factors makes the apparent effect of career magnets slightly stronger. Table 5.10 shows that students with higher test scores have slightly more college credits, but the difference is not significant.
| Grade | ||||||
| Model | 8 | 9 | 10 | 11 | 12 | Postgrad. |
| (1) Career Magnet | -.120 | -.160 | -.107 | -.225 | -.232 | -.181 |
| (2) Career Magnet | -.124 | -.196 | -.129 | -.269* | -.289* | -.234 |
| Math 7 | .010 | .165 | .090 | .197 | .258 | .239 |
| Reading 7 | .087 | -.013 | .125 | -.059 | -.082 | .004 |
| (3) Career Magnet | -.101 | -.182 | -.122 | -.306* | -.286* | -.189 |
| Math 7 | . 167 | .261 | .134 | .200 | .267 | .548* |
| Reading 7 | .083 | -.059 | .002 | -.292 | -.278 | .011 |
| Math 8 | -.237 | -.165 | -.124 | -.117 | -.107 | -.429* |
| Reading 8 | .058 | -.106 | .213 | .376 | .317 | .092 |
| (4) Career Magnet | -.132 | -.235 | -.166 | -.306* | -.339* | -.217 |
| Math 7 | .191 | .277 | .134 | .222 | .296 | .606* |
| Reading 7 | .044 | -.079 | .003 | -.311 | -.308 | -.022 |
| Math 8 | -.246 | -.187 | -.140 | -.124 | -.110 | -.445* |
| Reading 8 | .060 | .122 | .230 | .379 | .317 | .070 |
| African American | -.218 | -.636* | -.540 | -.390 | -.375 | -.182 |
| Caribbean American | .084 | -.426 | -.488 | -.253 | -.167 | -.065 |
| South American | .355 | -.306 | -.329 | -.135 | -.118 | .184 |
| Language Minority | .168 | .320* | .204 | .229* | .328 | .156 |
| (5) Career Magnet | -.128 | -.266* | -.208 | -.326* | -.361* | -.231 |
| Math 7 | .154 | .268 | .152 | .231 | .308 | .621* |
| Reading 7 | .049 | -.098 | -.026 | -.324 | -.323 | -.033 |
| Math 8 | -.211 | -.161 | -.135 | -.122 | -.110 | -.452* |
| Reading 8 | .059 | .126 | .236 | .382 | .320 | .075 |
| African American | -.169 | -.686* | -.644 | -.438 | -.432 | -.226 |
| Caribbean American | .126 | -.442 | -.542 | -.279 | -.198 | -.092 |
| South American | .371 | -.343 | -.396 | -.167 | -.154 | .161 |
| Language Minority | .306* | .356* | .235 | .243 | .342* | .157 |
| Mother's education | -.125 | -.146 | -.088 | -.039 | -.264 | .067 |
| ¨Father's education | .028 | .206 | .240 | .110 | .121 | .004 |
| Multiple R by Model | ||||||
| Multiple R (1) | .120 | .160 | .107 | .225 | .232 | .181 |
| Multiple R (2) | .151 | .222 | .215 | .282 | .321 | .296 |
| Multiple R (3) | .198 | .243 | .251 | .358 | .371 | .387 |
| Multiple R (4) | .357 | .407 | .360 | .419 | .469 | .468 |
| Multiple R (5) | .374 | .456 | .421 | .430 | .482 | .473 |
| Model | Career Magnet | Math 7 | Read 7 | Math 8 | Read 8 | African American | Caribbean American | South American | Language Minority | Moth. Educ. | Fath. Educ. | Multiple R |
| I | .263* | .263 | ||||||||||
| II | -.277* | -068 | -.109 | .280 | ||||||||
| III | -.257* | .212 | -.045 | -.185 | -.054 | .302 | ||||||
| IV | -.280 | .240 | -.052 | -.175 | -.064 | -.174 | -.194 | .033 | .075 | .343 | ||
| V | -.273 | .233 | -.047 | -.172 | -.151 | -.180 | -.180 | .046 | .072 | -.001 | -.0359 | .345 |
| School | Mean (n) |
| Business | .00 (2) |
| Health | .17 (6) |
| Business | .73 (15) |
| 4 - Career | .33 (12) |
| Comprehensive | .91 (47) |
| Model | Career Magnet | Math 7 | Read 7 | Math 8 | Read 8 | African American | Caribbean American | South American | Language Minority | Moth. Educ. | Fath. Educ. | Multiple R |
| I | .359* | .359 | ||||||||||
| II | .415* | -.341* | .231 | .461 | ||||||||
| III | .405* | -.396 | .350 | .141 | -.206 | .478 | ||||||
| IV | .387* | -.396 | .396 | .099 | -.209 | -.313 | -.415 | -.224 | -.014 | .508 | ||
| V | .378* | -.360 | .351 | .069 | -.178 | -.342 | -.455 | -.233 | -.024 | .135 | -.090 | .526 |
Model | Career Magnet | Math 7 | Read 7 | Math 8 | Read 8 | African American | Caribbean American | South American | Language Minority | Moth. Educ. | Fath. Educ. | Multiple R |
| I | .282* | .282 | ||||||||||
| II | .291* | -.053 | .201 | .334 | ||||||||
| III | .254* | -.302 | .247 | .395 | -.157 | .399 | ||||||
| IV | .252* | -.334 | .278 | .386 | -.141 | -.132 | -.293 | -.233 | -.074 | .442 | ||
| V | .263* | -.319 | .284 | .365 | -.142 | -.127 | -.299 | -.225 | -.093 | .097 | -.091 | .455 |
It is important to bear in mind that the experimental design eliminates all the unknown factors that might distinguish the lottery winners from the lottery losers; the only significant factors are those that occur after randomization has occurred, namely the differential acceptance of students into the comprehensive schools or career magnet programs, and the differential dropout rates of the two kinds of schools.
The argument presented below, that the difference in graduation rates cannot explain the difference in parental support, uses what is sometimes referred to as a "contradiction proof." The demonstration will show that if it were possible to eliminate all the relationships between career magnet attendance and parental support by controlling on a factor biased by the difference in graduation rates, then the impact of this biasing factor on the graduation rate would be so large as to defy credibility.
First DemonstrationLet us assume that there is such a factor--call it "f"--perhaps built by combining a large number of factors into a single variable. Since the career magnet graduation rates cannot directly affect parental behavior, or even the students' perceptions of parent behavior, we must postulate a two-step process:
Graduation rate "g" -> unknown factor "f" -> perceived parent support, "p"
In educational research, correlations between student-level attitudes or behaviors are rarely higher than .3; correcting for measurement error might push the correlations "rgf" and "rfp" as high as .5. If so, the correlation between career magnet graduation rates and parental support, "rgp," would be no higher than .25. To be on the safe side, let us assume it is .95. The assumption we are testing in this "proof" is that the correlation between attending and graduating from a career magnet compared to a comprehensive school, "c," and parental support, "p," will be reduced to zero if we control on the graduation rates of the two types of schools, "g." Since the randomization prevents the career magnet attendees from differing from the students attending the comprehensive schools, any difference in the value of "f" for the career magnet and comprehensive graduates must be because of the lower graduation rate in the career magnets. (This assumes that there is no difference in the kind of students who graduate--both kinds of schools have the same kind of standard for graduation in terms of test scores and grades, and the same kind of work is required to obtain passing scores in classes and on tests--except that the standard is higher for the career magnets. In other words, we assume no second-order interaction effect between the "f," the graduation rate, and whether the program is career magnet or comprehensive. We drop that assumption in the more complicated version of this proof, below.)
In order for "f" to explain away the relationship between career magnet attendance and parental support, we must assume that the higher parental support of the career magnet graduates shown by a correlation between parental support and being a career magnet graduate, rcp = .306, is entirely or largely explained by the correlation between being a career magnet graduate and being in a school with a lower graduation rate, "rcg." This means the partial correlation of career magnet attendance and parental support, controlling on the student's program's graduation rate, must be near zero.
The correlation between being a career magnet student and the student's program's graduation rate is based on the difference in graduation rates of the two kinds of schools and is .052. The correlation between being a career magnet graduate and possessing high parental support is .306. Substituting those values,
A value of rgp = .95 would produce a value of rcp.g = .14, still considerably greater than zero, but it is impossible to imagine a particular student's program's graduation rate being correlated .95 with any aspect of a student's life, or a student's perception of her or his parental support being correlated.95 with any other variable. Worse yet, eliminating the correlation between career magnet graduation and parental support would require a correlation above.95. Our initial assumption, that career magnets do not raise parental support, has led to a contradiction, and is therefore false.
We can demonstrate the same point in another way. We found that 55% of career magnet graduates reported having parental support for college, while only 25% of those from comprehensive schools said this. Imagine that the student's perception of parental support for college is perfectly correlated with the child having the ability to graduate from high school, and that only 19% of the students who enter these high schools, whether career magnet or comprehensive, have this parental propensity. Suppose that in career magnets, all 19% graduate, and an additional 17% of the student body, who do not have parental support, also graduate, giving an overall graduation rate of 36%. Now suppose that all 19% in comprehensive schools also graduate, but an additional 22% of the students graduate as well, so that the graduation rate rises to 41%. The relationship between graduating and perceiving parental support could not possibly be stronger than this (still assuming no interaction effect). With these assumptions, the percentage of graduates from career magnets who perceive that their parents will support them is 53% (.19/.36), which is slightly below our actual results. In the comprehensive schools, the percentage of graduates with parental support is 46% (.19/.41). The difference between career magnets and comprehensive schools is 7% (53% - 46% = 7%). The actual difference is 30%, over four times as large. At a minimum, over three-fourths of the effect of career magnet attendance on the graduates' perceived parental support cannot be explained by the lower graduation rate of career magnets under the most extreme assumptions.
Since the effects of attending a career magnet on the risk behavior of students and their college achievement are about two-thirds as strong as their effect on perceived parental support, these effects are also strong enough so that they cannot be explained away by a difference of graduation rates.
We noted earlier that we had assumed that the correlation between parental support and graduation is the same in career magnets and comprehensive schools--that is, that graduates had more parental support than did dropouts, and that this was equally true for career magnets and comprehensive students. The more complicated of our two contradiction proofs drops this assumption, and allows for the possibility that career magnet dropouts might have higher or lower levels of parental support than do dropouts from comprehensive schools. Differences in who drops out can explain the higher support rate of career magnet graduates, but only if we assume that the graduates of comprehensive schools believe they have less parental support than do the comprehensive students who did not graduate, which seems not credible. There are two proofs needed. The first is for a purely theoretical model that assumes that graduating from high school does not affect level of parental support for college. The proof is arithmetical as follows:
| 1. | Since we assume that attending a career magnet versus a comprehensive school does not affect level of parental support, lottery winners and lottery losers have identical amounts of parental support, "p." |
| 2. | Since 80% of lottery winners attend career magnet schools and graduate at a rate of 36%, and these graduates have a 55% rate of perceiving parental support for college, then .288 (.8 x .36) of all lottery winners are career magnet graduates, and .512 (.8 - .288) are career magnet nongraduates. This implies that .1584 (.288 x .55) of all lottery winners are career magnet graduates with parental support. |
| 3. | We know that 20% of all lottery winners do not get into a career magnet, and since the vast majority (see Appendix B) attend comprehensive schools, let us assume that these students have a graduation rate of 41%. This means that .082 (.20 x.41) of all lottery winners are comprehensive graduates, and .118 (.20 - .082) are comprehensive school nongraduates. The survey finds that 25% of comprehensive graduates have parental support for college. This implies that.0205 (.082 x .25) of all lottery winners are comprehensive graduates with parental support. This, in turn, means that .1789 (.1584 + .0205) of lottery winners are high school graduates with parental support. |
| 4. | If we assume that the proportion of nongraduates from career magnets who perceive parental support is "Y," and the proportion of nongraduates from comprehensive schools who perceive parental support is "Z," then the proportion of lottery winners who did not graduate from career magnets and perceive parental support for college is .512Y, and the proportion of lottery winners who did not graduate from comprehensive schools and perceive parental support for college is .118Z. |
| 5. | Following the same procedure for lottery losers, 30% attend career magnets, where their graduation rate should be 36%, and their level of parental support should be 55%, while the remaining 70% attend mostly comprehensive schools, where their graduation rate should be 41% and their level of perceived parental support will be 25%. This means that .0594 (.30 x .36 = .108 x .55) of all lottery losers will receive parental support because they graduated from a career magnet, and .0718 (.70 x .41 = .287 x .25) will receive support because they graduated from a comprehensive school, totaling .1312. In addition, .192Y (.30 x .64 x Y) will perceive parental support because they did not graduate from a career magnet and .413Z (.70 x .59 x Z) will perceive parental support because they are nongraduates from comprehensive schools. |
| 6. | Since
the lottery winners and lottery losers are assumed to be unaffected by the
school they attended, the two groups should have identical levels of parental
support:
|
Solutions for this linear relationship show that for reasonable values of parental support for career magnet dropouts, "Y," we get
| if Y = .10, | Z = .2705 | |||
| Y = .20 | Z = .3793 | |||
| Y = .30 | Z = .4881 |
In all cases, the amount of parental support perceived by dropouts from comprehensive schools exceeds that perceived by dropouts from career magnets, and in the last two cases, noticeably exceeds the amount of support perceived by comprehensive school graduates, none of which seems possible. The original assumption, that the positive effect of career magnets is due entirely to the fact that career magnets have a lower graduation rate, is contradicted.
Second Demonstration.019 + 1.088Y = Z
This equation once again shows the amount of support perceived by comprehensive school nongraduates to be greater than that perceived by career magnet school nongraduates, so the contradiction remains.
[13] The exact formula is to add the standardized versions of the number of credits, which ranged from 0 to 77, and the dichotomous statement that they did or did not have a major. When correlated separately with type of school, their correlations are .194 and .212, respectively.
[14] The actual wording of the question is, "A. Did you do any of the following things while you were in high school? . . . Talk with your parents about financial help to go to college?" Since the question is about what the student did ("Did you do?), it is safe to assume that this question refers to students approaching their parents rather than parents bringing the subject up.