Psyc212/667 Practice Problems
Psyc212/667 Practice Problems


1. Central Tendency and Dispersion

Given the following numbers show the sum of x, the sum of x-squared, mean, median, mode, range, sample standard deviation, and population variance.

4 5 6 6 6 7 8

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2. z-scores

Given a population with a mean of 40 and a standard deviation of 5:
-What is the percentile rank of someone with a score of 47.5?
-What percent of the distribution is between 37 and 43?
-What score cuts off the bottom 10% of the distribution?
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3. Confidence interval around mu

Given a sample mean of 15, a sample standard deviation of 2, and a sample size of 30, what is the 95% confidence interval (CI) around mu?
What if the sample size were 121?
What if the sample size were 121 but the desired CI was 99%
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4. 1-sample t-test Note: Dr. Ruscher no longer teaches this test in Psyc209/609...but you can read about it in your text

A middle-manager wonders if members of her 51-person unit use an inordinate number of sick days. The company president tells her that the average number of sick days for company employees is 13 days (i.e., the population mean is 13). Her unit uses an average of 19 days with a standard deviation of 3 (i.e., the sample mean and standard deviation are 19 and 3, respectively). Is her unit unusual?

One year later, everything has changed. The population mean is now 12.5, and her sample of 61 employees has a mean of 11 and a standard deviation of 2. Is her unit unusual?
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5. One-way ANOVA

Scores in group 1 are 4, 5, 5, 2
Scores in group 2 are 7, 8, 7, 7
Compute the one-way between groups ANOVA, first using the heuristic formula, then again using the raw score formula.

What would the degrees of freedome be if you had 3 groups of 4 people? F
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6. Orthogonal Comparisons

Compare Group D to the other three groups.
Compare Groups A and B.
What are the coefficients for the third comparison?

Group A raw data: 5 5 4 3 (total=17)
Group B raw data: 4 2 4 4 (total=14)
Group C raw data: 9 9 8 7 (total=33)
Group D raw data: 9 7 7 7 (total=30)

The SSbetween for this problem = 66.25 and the SSwithin = 11.50

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7. Bonferroni Comparisons

Use the same raw data as in Problem 6. Imagine that you have decided to compute the original comparison (D vs A,B,C), but also 4 additional comparisons that are not orthogonal to it. Is that comparison still significant?
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8. Scheffe Comparisions

Make the first 2 comparisons as specified in Problem 6, but use the Scheffe method instead of the Bonferroni or Orthogonal Comparison method
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9. Range Tests: Tukey and Newman-Keuls

Using the same data as in Problem 6, compute the pairwise comparisons using the Tukey procedure.
Now, use the Newman-Keuls procedure
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10. 2-way ANOVA

Assume that 12 participants are assigned randomly to the cross of two between subjects independent variables mood (positive, negative) and alcohol (0oz, 2oz). Compute the ANOVA using the data below:

positive mood/0 oz: 2,3,2
negative mood/0 oz: 7,7,7
positive mood/2 oz: 4,5,5
negative mood/2 oz: 8,9,8

Now imagine that a similar study had 48 participants, randomly assigned to the cross of mood (positive, negative, neutral) and alcohol (0oz, 2oz). On which set of degrees of freedom is each of the 3 F ratios tested?
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Questions 11-20