Question

A researcher wants to compare the efficacy of three different techniques for memorizing information. They are repetition, imagery, and mnemonics. The researcher randomly assigns participants to one of the techniques. Each group is instructed in their assigned memory technique and given a document to memorize within a set time period. Later, a test about the document is given to all participants. The scores are collected and analyzed using a one-way ANOVA. Here is the ANOVA table with the results:

Source	SS	df	MS	F	p
Between	114.3111	2	57.1556	19.74	<.0001
Within	121.6	42	2.8952
Total	235.9111	44

Answer the following questions:

1. Determine what question(s) the researchers are trying to answer by doing this research.

2. Determine the hypotheses being tested. Is the alternative hypothesis directional or nondirectional?

3. Identify the independent variable(s), the dependent variable, and the specific type of ANOVA used.

4. Determine the sample size and the number of groups from information given in the ANOVA table.

5. Discuss briefly the assumptions and limitations that apply to ANOVA

6. Interpret the ANOVA results in terms of statistical signficance and in relation to the research question.

Answer 1

Answer:

1) Determine what question(s) the researchers are trying to answer by doing this research.

ans : find out is there difference between means or not.

2) Determine the hypotheses being tested. Is the alternative hypothesis directional or non directional?

ans : alternative hypothesis is non

3. Identify the independent variable(s), the dependent variable, and the specific type of ANOVA used.

ans: here independent variable is time period and dependent variable is memories it is one way anova .

4. Determine the sample size and the number of groups from information given in the ANOVA table.

ans : sample size 45 total size

5. Discuss briefly the assumptions and limitations that apply to ANOVA

ans : Assumption : 1) The population must be close to a normal distribution.

2) samples must be independent .

3) population variances must be independent .

4) Groups must have a equal sample sizes .

limitation : A one way ANOVA will tell you that at least two groups were different from each other .But it won't tell you what groups were different if your test returns a significant f statistics , you may need to run an ad hoc test , fisher test , or several test .

6. Interpret the ANOVA results in terms of statistical significance and in relation to the research question.

ans: yes , there is significant difference between means . that is there is statistical significance .

this answer given from p value . using p value approach if p value is less than alpha we result is not significant