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State | School participation rate after substitution (percent) | Percent of population covered by model (percent) | Model with all variables | Significant variables | Test: Yij's=0 | ||||
---|---|---|---|---|---|---|---|---|---|
Degrees of freedom | P-values | Degrees of freedom | P-values | ||||||
Arizona | 86.83 | 84.10 | 7 | p=0.987 | 0 | 4 | p=0.887 | ||
Arkansas | 85.15 | 100.00 | 11 | p=0.750 | 0 | 4 | p=0.996 | ||
California | 75.89 | 93.83 | 8 | p=0.355 | 0 | 4 | p=0.112 | 5 | |
Idaho 1 | 74.87 | 90.51 | 6 | p=0.030 | nonresponse class 5 p=0.008 | 2 | p=0.447 | ||
Illinois | 73.10 | 67.91 | 6 | p=0.927 | 0 | 4 | p=0.753 | ||
Indiana | 70.03 | 100.00 | 11 | p=0.097 | 2 | 0 | 4 | p=0.559 | |
Iowa | 70.60 | 92.75 | 7 | p=0.120 | percent Black p=0.025 | 4 | p=0.215 | ||
Maine | 85.49 | 83.24 | 8 | p=0.967 | 0 | 4 | p=0.898 | ||
Michigan | 83.48 | 64.35 | 7 | p=0.298 | 3 | 0 | 4 | p=0.306 | |
Minnesota | 82.98 | 89.79 | 8 | p=0.714 | 0 | 4 | p=0.279 | ||
Montana | 77.47 | 93.97 | 6 | p=0.735 | 0 | 4 | p=0.874 | ||
New York | 72.16 | 100.00 | 7 | p=0.507 | 0 | 4 | p=0.397 | ||
North Dakota | 88.91 | 75.73 | 9 | p=0.180 | 0 | 4 | p=0.369 | ||
Ohio | 81.70 | 93.36 | 10 | p=0.913 | 4 | 0 | 4 | p=0.471 | |
Oregon | 74.18 | 86.79 | 8 | p=0.393 | percent Hispanic p=0.018 | 4 | p=0.201 | ||
Vermont | 74.66 | 100.00 | 7 | p=0.800 | 0 | 4 | p=0.682 | ||
1 The model for Idaho does not include the variables for percent Black or percent Hispanic since these variables were always zero. 2 Also ran the logistic regression in SAS due to unstable standard errors within the nonresponse classes; in SAS the model with all variables resulted in p<0.0001. However SAS generally tends to overstate the significance. 3 Also ran the logistic regression in SAS due to unstable standard errors within the nonresponse classes; in SAS the model with all variables resulted in p<0.0001. However SAS generally tends to overstate the significance. 4 Also ran the logistic regression in SAS due to unstable standard errors within the nonresponse classes; in SAS the model with all variables resulted in p<0.0001. However SAS generally tends to overstate the significance. 5 While the test was not significant (p=0.112) the p-value for the score statistic was significant with p=0.033. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Science Assessment. |