determine if there are differences among educators from the four Program Areas (English, French, Biology, or Physics) on their knowledge "posttest" marks (at the end of the workshop). Also, are there differences for the four groups on their "long-term" composite performance indicator marks administered a month after the workshop?

Again, use analysis of variance (ANOVA) and theF-test to determine if there were overall differences in means, and if there were differences, between which groups these differences occur. Conduct the analyses for both the knowledge posttest and the long-term composite performance indicator for educators in the workshop.

ANOVA Sum of Squares df Mean Square F Sig. p_ink Between Groups 1380.703 3 460.234 4.001 .010 Within Groups 11159.139 97 115.043 Total 12539.842 100 Itp_cpi Between Groups 8597.750 3 2865.917 7.730 .000 Within Groups 35960.883 97 370.731 Total 44558.634 100Descriptives 95% Confidence Interval for Std. Mean N Mean Deviation Std. Error Lower Bound Upper Bound Minimum Maximum p_ink 1 26 75.31 6.644 1.303 72.62 77.99 67 88 2 21 76.62 12.913 2.818 70.74 82.50 49 100 3 32 68.44 10.258 1.813 64.74 72.14 45 94 4 22 68.68 12.834 2.736 62.99 74.37 41 93 Total 101 71.96 11.198 1.114 69.75 74.17 41 100 Itp_cpi 26 241.12 13.967 2.739 235.47 246.76 221 274 2 21 236.19 20.034 4.372 227.07 245.31 191 282 3 32 221.41 17.231 3.046 215.19 227.62 178 266 4 22 219.82 25.684 5.476 208.43 231.21 173 260 Total 101 229.21 21.109 2.100 225.04 233.38 173 282Tests of Homogeneity of Variances Levene Statistic df1 df2 Sig. p_ink Based on Mean 2.157 3 97 098 Based on Median 2.016 3 97 .117 Based on Median and 2.016 3 73.035 .119 with adjusted df Based on trimmed 2.196 3 97 .093 mean Itp_cpi Based on Mean 2.807 3 97 044 Based on Median 2.669 3 97 .052 Based on Median and 2.669 3 84.331 .053 with adjusted df Based on trimmed 2.779 3 97 .045 meanMultiple Comparisons Scheffe Mean Difference (1- 95% Confidence Interval Dependent Variable (1) Newprogram () Newprogram J) Std. Error Sig. Lower Bound Upper Bound p_ink 1 2 -1.311 3.147 982 -10.26 7.64 W 6.870 2.832 125 -1.19 14.93 4 6.626 3.107 .215 -2.21 15.47 2 1.311 3.147 982 -7.64 10.26 W 8.182 3.012 067 -.39 16.75 4 7.937 3.272 .125 -1.37 17.25 3 -6.870 2.832 125 -14.93 1.19 -8.182 3.012 067 -16.75 .39 4 -.244 2.971 1.000 -8.70 8.21 4 -6.626 3.107 .215 -15.47 2.21 -7.937 3.272 125 -17.25 1.37 .244 2.971 1.000 -8.21 8.70 - W N W N H Itp_cpi 1 4.925 5.649 .859 -11.15 21.00 19.709 5.084 003 5.24 34.17 21.297 5.578 003 5.43 37.17 2 -4.925 5.649 859 -21.00 11.15 3 14.784 5.407 .065 -.60 30.17 4 16.372 5.874 057 -.34 33.09 3 -19.709 5.084 003 -34.17 -5.24 IN -14.784 5.407 065 -30.17 .60 1.588 5.333 993 -13.58 16.76 4 -21.297 5.578 003 -37.17 -5.43 -16.372 5.874 057 -33.09 34 W -1.588 5.333 993 -16.76 13.58