William H. Knapp III

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This homework was due on Monday, December 31 at 06:00 a.m. Turkish time. Late submissions receive half credit.

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1. What type of data would the number of successes observed in a series of coin flips be?
Interval
Nominal
Ordinal
Ratio

2. Imagine that there was a happiness scale ranging from 1-10 where higher scores indicated more happiness. If the difference in happiness between a 2 and a 4 isn't necessarily the same as the difference between a 4 and a 6, what type of scale is this?
Interval
Nominal
Ordinal
Ratio

3. Imagine you were interested in studying anxiety in supporters of different political parties in Turkey. You were going to look at people supporting AKP, CHP, MHP, BDP, and KADEP. What type of variable is political preference in this scheme?
Interval
Nominal
Ordinal
Ratio

4. Some people would argue that differences in IQ scores cannot be compared (i.e. the difference between 90 and 100 is not the same as the difference between 140 and 150. If that's true, what type of scale is IQ?
Interval
Nominal
Ordinal
Ratio

5. If you pointed out that in terms of standard deviations, the difference between 90 and 100 is the same as the difference between 140 and 150, what type of scale would you be arguing that IQ represents?
Interval
Nominal
Ordinal
Ratio

6. What types of data can indicate differences? (Choose all that apply)
Interval
Nominal
Ordinal
Ratio

7. What types of data have a 0 that indicates the absence of whatever it's measuring? (Choose all that apply)
Interval
Nominal
Ordinal
Ratio

8. What types of data indicate more or less of some thing? (Choose all that apply)
Interval
Nominal
Ordinal
Ratio

9. For what types of data can you justifiably say that the difference between 2 & 4 is twice as big as the difference between 7 & 8? (Choose all that apply)
Interval
Nominal
Ordinal
Ratio

10. For what types of data can you justifiably say that 6 is twice as big as 3? (Choose all that apply)
Interval
Nominal
Ordinal
Ratio

11. Imagine that you were testing the attentional abilities of children with ADHD by having them search through a page of letters looking two specific letters. You know that for children without attentional disorders the median number of missed letters is 10. You collect data from 10 children with ADHD and find that the number of letters they miss are as follows: 8, 15, 31, 28, 23, 36, 19, 27, 32, and 9. Quickly looking at the data, you realize that the data do not appear to have come from a normal distribution and you have a small sample size. To deal with this, you decided to use a one-sample Wilcoxon signed ranks test against the null hypothesis that the population median for children with ADHD is also 10.
What is the sum of the deviations from the hypothesized median?

12. What is the sum of the absolute deviations?

13. What rank should you assign to the individual who scored a 15?
HINT: Rank the lowest as 1 and work your way up.

14. Which rank should you assign to the individual who scored a 27?

15. Which rank should you assign to the individual who scored a 32?

16. How many positive ranks do you have?

17. What is the sum of the positive ranks?

18. What is p-value for the Wilcoxon one-sample signed ranks test?
HINT: The null hypothesis a number of questions above was that the median was 10 so set mu=10.

19. If the null was that the median was less than or equal to 10, what would the p-value have been?

20. If the null was that the median was greater than or equal to 10, what would the p-value have been?