# - For the following data, assuming a between-groups design,...

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PS 307, Wk 6 Assignment 12.20- For the following data, assuming a between-groups design, determine: Group 1: 11, 17, 22, 15 Group 2: 21, 15, 16 Group 3: 7, 8, 3, 10, 6, 4 Group 4: 13, 6, 17, 27, 20 a. df between
b. df within
c. df total
d. The critical value, assuming a p value of 0.05
e. The mean for each group and the grand mean
f. The total sum of squares
PS 307, Wk 6 Assignment 6 -7.222 52.160 M 3 = 6.333 4 -9.222 85.049 Group 4 13 -0.222 0.049 6 -7.222 52.160 17 3.778 14.272 27 13.778 189.827 M 4 = 16.600 20 6.778 45.938 GM = 13.222 SS total = 791.111 g. The within-groups sum of squares
h. The between-groups sum of squares
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PS 307, Wk 6 Assignment Group 1 11 3.028 9.167 17 3.028 9.167 22 3.028 9.167 M 1 = 16.250 15 3.028 9.167 Group 2 21 4.111 16.901 15 4.111 16.901 M 2 = 17.333 16 4.111 16.901 Group 3 7 -6.889 47.457 8 -6.889 47.457 3 -6.889 47.457 10 -6.889 47.457 6 -6.889 47.457 M 3 = 6.333 4 -6.889 47.457 Group 4 13 3.378 11.409 6 3.378 11.409 17 3.378 11.409 27 3.378 11.409 M 4 = 16.600 20 3.378 11.409 GM = 13.222 SS between = 429.161 i. The rest of the ANOVA source table for these data
j. Tukey HSD values
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PS 307, Wk 6 Assignment 12.24- An incomplete one-way between-groups ANOVA source table is shown below. Compute the missing values. Source SS df MS F Between 191.450 4 47.863 14.624 Within 104.720 32 3.273 Total 296.17 36
12.40- Consideration of Future Consequences and two kinds of hypothesis testing: Two samples of students, one comprised of social science majors and one comprised of students with other majors, completed the Consideration of Future Consequences scale (CFC). The accompanying tables include the output from software for an independent-samples t test and a one-way between-groups ANOVA on these data. Independent Samples Test t df Sig. (2- tailed Mean Difference Standard Error Difference 95% Confidence Interval of the Difference Lower Upper CFC scores -.650 28 .521 -.17500 .26930 -.72664 .37664 ANOVA CFC Scores Sum of Squares df Mean Square F Sig. Between Groups .204 1 .204 .422 .521 Within Groups 13.538 28 .483 Total 13.742 29 Group Statistics Major N Mean Standard Deviation Standard Error Mean CFC Scores Other 10 3.2000 .88819 .28087 Social Sciences 20 3.3750 .58208 .13016 a. Demonstrate that the results of the independent-sample t test and the one-way
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