Complete Parts A, B, and C below.
Part A
Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate Statistics. This data is available on the student website under the Student Text Resources link.
Practice the following problems byhand just to see if you can get the numbers right. Using the following information, calculate the ttest statistic.
¯X_1 = 62 ¯X_2 = 60 n_1 = 10 n_2 = 10 s_1^2= 2.45 s_2^2= 3.16
¯X_1 = 158 ¯X_2 = 157.4 n_1 = 22 n_2 = 26 s_1^2= 2.06 s_2^2= 2.59
¯X_1 = 200 ¯X_2 = 198 n_1 = 17 n_2 = 17 s_1^2= 2.45 s_2^2= 2.35
Using the results you got from Question 1 and a level of significance at .05,what are the two-tailed critical values associated with each? Would the nullhypothesis be rejected?
In the following examples, indicate whether you would perform a t test ofindependent means or dependent means.
Two groups were exposed to different treatment levels for ankle sprains.Which treatment was most effective?
A researcher in nursing wanted to know if the recovery of patients was quicker when some received additional in-home care whereas when others received the standard amount.
A group of adolescent boys was offered interpersonal skills counseling andthen tested in September and May to see if there was any impact on familyharmony.
One group of adult men was given instructions in reducing their high bloodpressure whereas another was not given any instructions.
One group of men was provided access to an exercise program and tested twotimes over a 6-month period for heart health.
Complete this exercise by hand. A famous brand-name manufacturer wants to know whether people prefer Nibbles or Wribbles. They sample each type of cracker and indicate their like or dislike on a scale from 1 to 10. Which do they like the most?
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Nibbles rating
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Wribbles rating
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9
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4
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3
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7
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1
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6
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6
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8
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5
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7
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7
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7
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8
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8
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3
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6
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10
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7
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3
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8
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5
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9
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2
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8
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9
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7
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6
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3
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2
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6
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5
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7
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8
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6
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1
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5
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6
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5
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3
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6
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5. Using the following table, provide three examples of a simple one-way ANOVA, two examples of a two-factor ANOVA, and one example of a three-factor ANOVA. Complete the table for the missing examples.Identify the groupingand the test variable.
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Design
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Grouping variable(s)
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Test variable
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Simple ANOVA
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Four levels of hours of training-2,4,6,and8hours
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Typing accuracy
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Two-factor ANOVA
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Two levels of training and gender(two-way design)
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Typing accuracy
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Enter Your Example Here
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Three-factor ANOVA
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Two levels of training, two of gender, and three of income
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Voting attitudes
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Enter Your Example Here
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Enter Your Example Here
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6. When would you use a factorial ANOVA rather than a simple ANOVA to test thesignificance of the difference between the averages of two or more groups?
7. Create a drawing or plan for a 2 × 3 experimental design that would lend itself toa factorial ANOVA. Identify the independent and dependent variables.
From Salkind (2011). Copyright © 2012 SAGE. All Rights Reserved. Adapted with permission.
Part B
Conduct a one-way ANOVA to investigate the relationship between hair color and social extroversion. Conduct appropriate post hoc tests. On the output, identify the following:
a. F ratio for the group effect
b. Sums of squares for the hair color effect
c. Mean for redheads
d. P value for the hair color effect
From Green &Salkind (2011).Copyright © 2012 Pearson Education. All Rights Reserved.Adapted with permission.
Part C
Complete the questions below. Be specific and provide examples when relevant.
Citeany sources consistent with APA guidelines.
Question
What is meant by independent samples? Provide a research example of two independent samples.
When is it appropriate to use a t test for dependent samples? What is the key piece of information you must know in order to decide?
When is it appropriate to use an ANOVA? What is the key piece of information you must know in order to decide?
Why would you want to do an ANOVA when you have more than two groups, rather than just comparing each pair of means with a t test?