'interpretation of the below result obtained from R using Clm
formula: grade ~ gender + course + year + COUNT + AVERAGE + CLASS data: coded1
link threshold nobs logLik AIC niter max.grad cond.H logit flexible 160 -220.91 469.82 5(0) 3.80e-13 3.3e+05
Coefficients: Estimate Std. Error z value Pr(>|z|) genderM 1.002637 0.364651 2.750 0.00597 ** courseSTA 213 -0.348646 0.450684 -0.774 0.43917 courseSTA 214 -0.299326 0.423553 -0.707 0.47975 courseSTA 411 0.018612 0.403631 0.046 0.96322 year2017/2018 -0.259455 0.412214 -0.629 0.52908 year2018/2019 -0.297061 0.419872 -0.708 0.47925 year2019/2020 -0.163904 0.426490 -0.384 0.70075 COUNT -0.051468 0.048172 -1.068 0.28534 AVERAGE -0.053538 0.007442 -7.194 6.28e-13 *** CLASS 0.040459 0.015216 2.659 0.00784 **
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
Threshold coefficients: Estimate Std. Error z value A|B -2.8106 0.6908 -4.068 B|C -1.4534 0.6582 -2.208 C|D -0.3174 0.6409 -0.495 D|F 0.9932 0.6436 1.543
anova(u,type = "III") Type III Analysis of Deviance Table with Wald chi-square tests
Df Chisq Pr(>Chisq)
gender 1 7.5602 0.005967 ** course 3 1.0091 0.799043 year 3 0.6035 0.895634 COUNT 1 1.1415 0.285338 AVERAGE 1 51.7586 6.276e-13 *** CLASS 1 7.0702 0.007838 **
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
u <- clm(grade ~ gender + AVERAGE + CLASS, data=coded1) summary(u) formula: grade ~ gender + AVERAGE + CLASS data: coded1
link threshold nobs logLik AIC niter max.grad cond.H logit flexible 160 -222.31 458.63 5(0) 4.16e-13 1.8e+05
Coefficients: Estimate Std. Error z value Pr(>|z|) genderM 0.776693 0.303489 2.559 0.0105 * AVERAGE -0.054132 0.007106 -7.618 2.58e-14 *** CLASS 0.028697 0.012221 2.348 0.0189 *
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
Threshold coefficients: Estimate Std. Error z value A|B -2.8260 0.5534 -5.106 B|C -1.4877 0.5152 -2.887 C|D -0.3579 0.4957 -0.722 D|F 0.9382 0.4952 1.895
anova(u,type = "III") Type III Analysis of Deviance Table with Wald chi-square tests
Df Chisq Pr(>Chisq)
gender 1 6.5496 0.01049 * AVERAGE 1 58.0285 2.584e-14 *** CLASS 1 5.5138 0.01887 *
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
Sources
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