I have a variable in SPSS that is named "program" which has four groups; biology, physics, french, and english. Students were assigned different programs and were tested (initial test scores). How do you use analysis of variance (ANOVA) and theF-test to determine if there were overall differences in average marks for educators in the four Program Area groups. If there were differences, between which groups did these differences occur (post hoc tests)?

ANOVA Sum of Squares df Mean Square F Sig. ink Between Groups 3092.008 3 1030.669 9.965 .000 Within Groups 10032.902 97 103.432 Total 13124.911 100 cpi Between Groups 6526.680 3 2175.560 5.644 .001 Within Groups 37387.617 97 385.439 Total 43914.297 100Descriptives 95% Confidence Interval for Std. Mean N Mean Deviation Std. Error Lower Bound Upper Bound Minimum Maximum ink 26 72.42 9.729 1.908 68.49 76.35 48 91 2 21 75.48 10.289 2.245 70.79 80.16 61 98 3 32 63.25 10.937 1.933 59.31 67.19 41 85 4 22 62.41 9.364 1.996 58.26 66.56 37 76 Total 101 67.97 11.456 1.140 65.71 70.23 37 98 cpi H 26 234.65 20.879 4.095 226.22 243.09 192 269 N 21 227.24 17.866 3.899 219.11 235.37 181 255 3 32 214.97 21.174 3.743 207.33 222.60 176 278 4 22 217.95 17.192 3.665 210.33 225.58 178 243 Total 101 223.24 20.956 2.085 219.10 227.37 176 278Tests of Homogeneity of Variances Levene Statistic df1 df2 Sig. ink Based on Mean .355 3 97 .785 Based on Median .519 3 97 .670 Based on Median and .519 3 95.113 .670 with adjusted df Based on trimmed .452 W 97 .717 mean cpi Based on Mean .326 97 .806 Based on Median 307 3 97 .820 Based on Median and .307 3 90.839 .820 with adjusted df Based on trimmed .344 97 794 mean