Using the informationfrom the following scenario, conduct a one-way ANOVA and specifythe LSD post hoc test.
Scenario
The superintendent iscontinuing to examine the data that has been reported for thedistrict. Another question concerned the differences in performanceon high stakes tests. To examine this issue, the superintendentobtained the average scale scores for schools that participated inthe high stakes testing for the district and two comparisondistricts. The following scores were collected:
Superintendent’s District | ComparisonDistrict 1 | ComparisonDistrict 2 |
332 | 324 | 301 |
317 | 307 | 317 |
320 | 277 | 297 |
344 | 333 | 303 |
314 | 300 | 320 |
330 | 302 | 309 |
291 | 320 | 278 |
302 | 291 | 299 |
286 | 296 | 290 |
318 | 327 | 311 |
320 | 304 | 314 |
327 | 277 | 297 |
283 | 284 | 264 |
322 | 276 | 270 |
Questions
- What is the mean scale score for each district?
Superintendent’sDistrict=314.71
Comparison District1=301.29
Comparison2=297.86
- What is the standard deviation of the scale scores for eachdistrict?
- State an appropriate null hypothesis for this analysis.
- What is the observed or computed value of F?
- What are the reported degrees of freedom for the Between Groupsvariance?
- What are the reported degrees of freedom for the Within Groupsvariance?
- What is the reported level of significance?
- Based on the results of the one-way ANOVA, would you accept orreject the null hypothesis?
- Based on the results of the LSD post hoc test, identify whichdistricts are significantly different.
- Present the results as they might appear in an article. Thismust include a table and narrative statement that reports theresults of the one-way ANOVA and LSD post hoc test.
Note: Thetable must be created using your word processing program. Tablesthat are copied and pasted from SPSS are notacceptable.
