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Safari File Edit View History Bookmarks Develop Window Help 44% D a Wed 2:32 PM Danielle Nevitt E mathal.com STAT2303.008 (Fall 2017) A Bartlett TR 11:00AM Danielle Nevitt | 11/15/17 2:32 PM Intro to EXSC Homework: Practice Problems 7 - A What? Save Score: 0.67 of 1 pt 22 of 25 (25 complete) Hw Score: 94.67%, 23.67 of 25 pts nato 12.3.9-T Question Help * The accompanying data table lists measures of self-esteem from a student project. The objective of the project was to study how levels of self-esteem in subjects relate to their perceptions of self-esteem in other target people who were described in writing. The test here works well even though the data are at the ordinal level of measurement. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. Development Self-esteem Measures for Subject and Target State the null and alternative hypotheses in the test for the effect of an interaction between row a Ho: There is no interaction between the subjects self-esteem and the targets sef-esteem in d H: There is an interaction between the subject's self-esteem and the targets self-esteem in de Subjects self-esteem cesr High What is the value of the test statistic for this test? Low 3 43 4 53 F= (Round to two decimal places as needed.) Target's self-esteem 2017-117.14 High 2 4 Screen Print Done 2017-11-7.0 Enter your answer in the answer box and then click Check Answer Clear All remaining 2147 15Explanation / Answer
below is output for above ANOVA:
from above F =9.31
p value =0.000275 ~ 0.0003
SUMMARY low medium high Total low Count 12 12 12 36 Sum 49 37 31 117 Average 4.083333 3.083333 2.583333 3.25 Variance 0.44697 0.44697 0.992424 0.992857 high Count 12 12 12 36 Sum 30 29 38 97 Average 2.5 2.416667 3.166667 2.694444 Variance 0.636364 1.537879 0.515152 0.961111 Total Count 24 24 24 Sum 79 66 69 Average 3.291667 2.75 2.875 Variance 1.172101 1.065217 0.809783 ANOVA Source of Variation SS df MS F P-value F crit Sample 5.555556 1 5.555556 7.284768 0.008823 3.986269 Columns 3.861111 2 1.930556 2.531457 0.087243 3.135918 Interaction 14.19444 2 7.097222 9.306291 0.000275 3.135918 Within 50.33333 66 0.762626 Total 73.94444 71Related Questions
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