Question

A researcher was studying teachers uses of technology in instruction. She drew four samples of high school teachers, one each from teachers of mathematics, English, science and history. She made certain that all teacher participants in the study were teaching in their field of certification and that all had between five and ten years of experience in that subject area. Each teacher completed the Teach with Tech scale (Nerdy & Frump, 2008) a self-report instrument that measures the use of technology in classroom instruction. The scale provides scores ranging from 10 to 30, with higher scores representing a greater use of technology. These are the resulting data: Subject Area Math English History 15 12 13 15 15 12 14 15 14 12 2 Your assignment: State the null hypothesis of interest in this study (symbol representation and statement) Conduct an appropriate test of this null hypothesis using an alpha level of.o5 and interpret the results of this test. Construct an ANOVA summary table that could be used to communicate the results of this test. Conduct the appropriate multiple comparison tests to identify statistically significant pairwise differences between subject area mean scores. 6. 7. 8. 9. 10. Write a one-paragraph interpretation of the results. 11. Construct a summary table of the linear model for this researcher data and indicate the following elements: y41,264 , щ.4.4.4.4 , er, fu, es, є,, en 12. Using SAS to conduct analyses for this study. Submit your program and output Chighlight the important results in your output)

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Answer #1

The step-by-step instructions to obtain ANOVA using Minitab 18: 1 Store the variables Math, English, Science, and History in the columns of the Minitab 18 worksheet 2 Choose StatANOVA One-Way 3 Choose Response data are in seperate column for each factor level 4 In Responses, Select from Math to History 5 Choose options and then enter the confidence level is 0.95 6 Click comparisons and then check Tukey 7 Click ok. The ANOVA One-way using Minitab18:

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(d)

The Tukey's pairwise comparison of means:

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(e)

Interpretation:

The pairwise comparison of means are statistically found significant are given below.

* English-Math

* Science-Math

* History-Math.

Since, the test statisics and the corresponding p-values are less than the level of significance is \alpha =0.05. Hence, we conclude that the Tukey's pair wise comparison of means are statistically significant.

The Tukey's pairwise comparison of means are not statistically significant, because the test statistics and the corresponding p-values, which are greater than the level of significance is \alpha =0.05.

* Science-English,

* History-English

* History-Science.

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