assignment 5

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University of West Alabama *

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506

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Statistics

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Feb 20, 2024

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Assignment #5: Analysis of Variance and Post Hoc Tests Directions: Using the information from the following scenario, conduct a one-way ANOVA and specify the Tukey (Tukey HSD) post hoc test. The superintendent is continuing to examine the data that has been reported for the district. Another question that has been raised concerns the differences in performance on high stakes tests. To examine this issue, the superintendent obtained the average scale scores for schools that participated in the high stakes testing for the district and two comparison districts. The following scores were collected: Superintendent’s district: 451 446 498 488 423 462 407 534 393 448 392 467 Comparison district 1: 386 435 501 386 469 301 483 468 349 432 409 441 Comparison district 2: 340 270 373 375 359 415 332 493 342 351 326 441 1. What is the mean scale score for each district? Superintendent: 450.80 Comparison 1 :421.67 Comparison 2: 368.10 2. What is the standard deviation of the scale scores for each district? Superintendent: 43.11 Comparison 1: 58.50 Comparison 2: 58.57 3. State an appropriate null hypothesis for this analysis. 4. What is the observed or computed value of F? 7.267 5. What are the reported degrees of freedom for the Between Groups variance? 2 6. What are the reported degrees of freedom for the Within Groups variance? 33 7. What is the reported level of significance? . 002 8. Based on the results of the one-way ANOVA, would you accept or reject the null hypothesis? Yes 9. Based on the results of the Tukey post hoc test, identify which districts are significantly different. There is no significant difference between superintendent district and comparison district 1 nor comparison district 1 and comparison district 2. There is a significant difference between superintendent district and comparison district 2.

10. Present the results as they might appear in an article. This must include a table and narrative statement that reports the results of the one-way ANOVA and Tukey post hoc test. Table 1 Variance in Comparison of High- Stake Score Source df MS F p Test Scores 2 21101.60 7.267 .002 Error 33 2903.63 Table 1 contains the results of the one-way ANOVA indicated a statistically significant. difference, F(2, 33) = 7.267 , p= .002, among the three districts with respect to the scores of high-stake testing. Superintendent's district (M= 450.80, SD= 43.11), Comparison district 1 (M=421.70, SD= 58.50), and Comparison district 2 scores (M=368.08, SD= 62.80).The Turkey HSD post hoc test showed There is no significant difference between superintendent district and comparison district 1 nor comparison district 1 and comparison district 2. There is a significant difference between superintendent district and comparison district 2. Note: The table must be created in Word or created in Excel and then copy/pasted into this answer document. Screenshots or screen captures of the output from SPSS are not acceptable. Examples are provided here: http://bit.ly/ED506CourseTourAddHelp

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