Researcher performs statistical analyzes using anova

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Reference no: EM133979324

Questions

1. A researcher performs statistical analyzes using ANOVA. He gets a negative treatment sum of square. Explain why this is not possible

2. Here are some of the degrees of freedom obtained from the repeated measures analysis of variance: dltrait = 3, dl between-subjects = 6, dl total = 35. Explain why these results are impossible.

3. We want to determine if the type of encoding affects the recall of information.

Fifteen participants are randomly distributed among the 3 encoding conditions, which differ according to the instructions given.

In the 'vowels' condition, the participant must count the number of vowels. In the rhyme condition, it must say whether the word presented visually rhymes with another word given aurally. In the 'semantic' condition the participant must say whether the word can fit into an auditory presented sentence.

Once there is a list of 20 words, each participant is asked to recall all the words they have seen. Here are the results of five participants.

Vowels 7 8 6 9 6

Rhyme 10 12 8 5 11

Semantics 14 13 11 12 15

a) State the null hypothesis in words and formula.

b) Formulate the alternative hypothesis. (In words and in formula)

c) Given the above information, what test should you do? What formula should you use? (put the formula)

d) What degree of freedom should you use?

e) Use the appropriate test to answer the question. Calculations.

It is important to present each step of your calculations (leave traces); not just the number found.

If you wish, you can use a tabulator (like Excel) to do the calculations. However, the requirements remain the same. You must show each of the steps. For example, you could use one column per step.

f) Find the critical region with an alpha of 0.05.

g) Make a decision and formulate it. If necessary, perform post-hoc tests (multiple t-test with Bonferroni's correction).

h) Report the results with descriptive and inferential statistics.

i) Interpret the results in your own words.

For interpretation, remember to return to the original question.

4. Using the study of word recall under different encoding conditions, please explain what ANOVA is and differentiate it from a t-test comparing the vowel condition to the rhyme condition.

5. If the research design presented in question 4 is modified and instead compares 5 types of encoding, what will happen to the probabilities of finding a significant difference between two conditions. Remember that if there is a significant difference between the conditions of the study, post-hoc tests with the Bonferroni correction will be done.

6. What does the standard error of the mean represent?

7. Select the best answer. When variables A and B are independent and we want to determine if there is a difference between the two variables, the variance of the difference scores A minus B is equal to

a) The variance of A plus the variance of B.

b) The variance of A.

c) The variance of A minus the variance of B.

Reference no: EM133979324

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