Education in States and Nations: 1991

(ESN) Indicator 10: Note on secondary education enrollment

Notes on Figure and Tables

Czechoslovakia

Specialized secondary education is included in general secondary education because the students in vocational and technical schools also receive general education.

Denmark

The students in secondary and higher education are generally much older than in Central and Southern European countries and in North America. The enrollment rates for higher education, for example, are higher at the age of 25 than at the age of 20.

France

Participation rates do not include special education, which is classified as ungraded.

Ireland

The data have been influenced by the use of population figures for 16, 17 and 18 year-olds, which were based on estimates supplied to OECD prior to the publication of the final results of the Census of Population for 1991. The revised population totals for these age groups indicate rates of participation in secondary education (males and females) of 88.6, 67.5 and 30.1 percent for 16-, 17- and 18-year-olds, respectively, by comparison with the 85.1, 64.7 and 28.8 percent one finds in the text.

Japan

Students enrolled in upper secondary courses offered by the Special Training Colleges (about 100,000 students in the relevant age group) are not included.

Spain

Participation rates do not take into account either the students enrolled in special education (classified as ungraded), or children whose age is unknown (about 1.3 percent of full-time enrolled students).

Switzerland

Participation rates do not take into account special education at the lower secondary level (4.7 percent of 14-year-olds, 4.0 percent of 15-year-olds and 2.1 percent of 16-year-olds).

Technical Notes

Calculation of full-time equivalent enrollments

See technical notes for Indicator 8.

Contrast between Census- and Current population survey-derived estimates of secondary education enrollment rates

There exist two inconsistencies between the Census Bureau's Current Population Survey (CPS) estimates for secondary education enrollment rates (which provide the U.S. figure in the OECD's Education at a Glance) and the 1990 Census of Population estimates (which provide the basis for the state figures used here). The first derives from the differing administration times of the two surveys - the CPS on or about October 1 and the Census on or about April 1. The second derives from differences in the wording of the pertinent questions that seem to elicit differing responses regarding enrollment status.

The effect of the differing administration times is to raise the April Census enrollment rates above the CPS rates in the older age cohorts (16 and above), when some teens start to drop out of school. This is because many students who started in a secondary grade in the fall semester when they were age x, turn age x+1 before the April Census.

For example, at age 15, enrollment is still virtually universal. Thus, the October CPS shows an enrollment rate for 15-year-olds close to 100 percent. Likewise, the April Census shows enrollment rates in the mid-to-upper nineties for 15-year-olds. But, the enrollment rates drop off for 16-year-olds, to a greater degree in the CPS numbers than in the Census numbers. That's because about half of the 16-year-olds in the Census figures are, in all likelihood, a grade level below about half of the 16-year-olds in the CPS estimate. Students in the same age cohort, then, are, on average, at a lower grade level in the Census than they are in the CPS.

For comparison purposes, the October 1990 CPS secondary education enrollment rates and the standard errors are presented in Tables S13 and S14 below for the 10 largest states.

Table S13 Enrollment in public and private secondary education, by age and state: October 1990

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                                            Age                                                                                                                   
State              14       15       16      17      18    19     20     21 
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California        100.0    99.0     95.8    79.6    22.6   5.2    2.0    2.3
New York           99.3    97.3     96.5    85.1    34.5   9.1    1.4    0.9
Texas              99.1    98.1    100.0    89.1    37.7   8.3    1.4    2.1
Florida           100.0    96.9     95.9    84.8    23.7   8.1    0.0    3.1
Pennsylvania       98.6    96.6     99.0    90.6    19.3   2.2    1.2    1.4
Illinois          100.0    98.4     96.4    80.8    19.9   9.4    0.0    2.6
Ohio               98.8    97.5     96.9    93.1    19.5   5.3    0.0    0.0
Michigan          100.0    96.1     93.7    83.5    30.6   4.9    3.8    0.9
New Jersey        100.0    97.6     95.8    83.4    27.6   1.9    1.2    0.0
North Carolina    100.0    99.0     94.2    88.0    16.8   5.1    0.0    0.0
UNITED STATES      99.4    98.3     95.3    84.6    23.6   6.0    1.3    1.1
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SOURCE: U.S. Department of Commerce, Bureau of the Census, Current Population Survey, October, 1990.

Table S14 Standard errors for estimates in Table S9

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                                          Age                               
State              14      15      16      17     18      19      20      21
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California        0.0     0.8     1.7     3.2     3.4     1.8     1.0     1.1
New York          0.8     1.8     1.9     3.9     5.0     2.8     1.2     0.9
Texas             0.9     1.5     0.0     3.4     5.2     2.7     1.1     1.4
Florida           0.0     2.1     2.5     5.1     5.4     3.2     0.0     2.4
Pennsylvania      1.7     2.3     1.3     4.1     4.6     1.7     1.4     1.5
Illinois          0.0     1.8     2.5     4.5     4.9     4.1     0.0     2.0
Ohio              1.4     1.8     2.2     3.4     5.1     2.6     0.0     0.0
Michigan          0.0     3.0     3.6     4.9     6.3     2.9     2.5     1.3
New Jersey        0.0     2.4     3.2     6.2     7.1     2.0     1.7     0.0
North Carolina    0.0     1.7     4.2     4.9     5.9     3.5     0.0     0.0
UNITED STATES     0.0     0.0     0.0     0.0     1.1     0.6     0.3     0.3
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SOURCE: U.S. Department of Commerce, Bureau of the Census, Current Population Survey, October, 1990.

Adjustments have been made to the 1990 Census-derived enrollment rates at each age in the 50 states and the District of Columbia as follows:

  1. 1.) A regression equation was designed with the following form:

    Y = a + b*X

    Y = CPS-derived enrollment rate (October 1990)


    X = Census-derived enrollment rate (April 1990)
    a = constant (arithmetic adjustment)
    b = slope of the relationship (proportional adjustment)
  2. 2.) The regression at each age was run on the data from the 19 states with CPS estimates derived from samples large enough to give reliable estimates. The regression run produced estimates for "a" - constant in the equation and the arithmetic adjustment factor between the Census and CPS estimates - and for "b" - the slope of the relationship and the proportional adjustment factor between the Census and CPS estimates. The eight regression runs produced the output shown in Table S15.

Table S15 Output from regression of October 1990 CPS secondary enrollment rates onto April 1990 Census secondary enrollment rates

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          Constant       Standard       Slope        Standard
Age         (a)           error          (b)           error
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14         199.424        0.575        -1.036          0.462
15          19.580        1.407         0.826          0.534
16         111.913        6.359        -0.188          1.120
17          55.280        7.374         0.372          0.415
18          13.477        7.146         0.283          0.369
19           2.768        3.658         0.446          0.766
20           0.038        1.217         0.424          0.487
21          -0.595        1.102         1.211          0.544
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The two factors - "a" and "b" - were then used to adjust the Census estimates for enrollments in all 50 states and the District of Columbia. These adjusted enrollments are listed in Table 10a for the United States, in Table 10b for the states, and displayed in Figure 10.



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