A researcher is interested in measuring test-taking motivation behaviourally with impossible anagrams. To this effect, the researcher administers a test of 7 anagrams (Anagram Persistence Test; APT), but 2 of the anagrams are impossible to solve (APT item 3 and item 5). So, the amount of time spent trying to solve the impossible anagrams is considered an indication of test-taking motivation.
Data file: grit_study_lab_test
You can find the data file at this link: https://tinyurl.com/yyuotnhc
The relevant items in the data for this portion of the lab questions are called ‘apt3_time_imp’ and ‘apt5_time_imp’.
QUESTION 7
1. Next, create a composite score (sum score) out of the ’apt3_time_imp’ and the ‘apt5_time_imp’ variables.
Name the composite score variable ‘apt_time_imp_sum’.
What is the mean associated with the ‘apt_time_imp_sum’ variable?
a. 125.19
b. 137.99
c. 178.96
d. 1268.14
e. 130.32
f. 108.868
QUESTION 8
1. What is the Pearson correlation between the age variable and the ‘apt_time_imp_sum’ variable?
a. .215
b. .169
c. .186
d. None of the other options is correct.
e. .103
f. .058
QUESTION 9
1. Is there statistical significant evidence to suggest that there is an association between age and test-taking motivation (i.e., the ‘apt_time_imp_sum’ variable)? What is the p-value?
a. Yes, p = .145
b. None of the other options is correct.
c. No, p = .139.
d. Yes, p = .139.
e. Yes, p < .05.
f. No, p = .145.
QUESTION 10
1. What is the standard error of the mean associated with the ‘apt_time_imp_sum’ variable?
a. None of the other options is correct.
b. 91.043
c. 8.123
d. 10.269
e. 8.490
f. 7.126
QUESTION 11
1. Now, the researcher is interested in percentiles. One of the variables in the data file is called ‘apt_time_imp_ranks’. With that variable (and/or computations on that variable), answer the following questions.
What was the percentile associated with the Case ID = 7? Answer the question to three decimal places (even though such a value is impossible for a percentile).
a. 51.739
b. 48.245
c. 56.265
d. 21.658
e. 63.043
f. 59.687
QUESTION 12
1. What percentage of cases achieved an 'apt_time_imp' raw score of 108.868 or less?
a. 46%
b. 55%
c. 42%
d. 50%
e. None of the other options is correct.
f. 62%
QUESTION 13
1. What was the raw sum score that corresponded closest to the 21st percentile?
QUESTION 14
1. Calculate z-scores for the apt_time_imp_sum variable. What is the z-score associated with case ID 55?
a. 2.294
b. 2.958
c. 1.359
d. 2.523
e. 1.684
f. None of the other options is correct.
QUESTION 15
1. Calculate T-scores for the 'apt_time_imp_sum' variable. What is the T-score associated with case ID 88?
QUESTION 16
1. The researcher included a short-form of the Advanced Progressive Matrices (APM) in the research project. The APM short-form consisted of 9 items: apm7, apm9, apm15, apm17, apm25, apm27, apm29, apm31, apm33.
First, within Jamovi, score the nine APM items according to the scoring key below:
apm7: 6 = 1; all other responses = 0
apm9: 8 = 1; all other responses = 0
apm15: 2 = 1; all other responses = 0
apm17: 6 = 1; all other responses = 0
apm25: 7 = 1; all other responses = 0
apm27: 7 = 1; all other responses = 0
apm29: 6 = 1; all other responses = 0
apm31: 4 = 1; all other responses = 0
apm33: 5 = 1; all other responses = 0
Then, create a composite score out of the nine scored items such that the composite score represents the average APM score for each case; thus, the theoretical range associated with such composite scores would be .00 to 1.0. Name the composite score ‘apm_r_avg’.
What was the mean associated with the 'apm_r_avg' variable?
a. .554
b. None of the other options is correct.
c. .415
d. .358
e. .514
f. .499
QUESTION 17
1. The researcher includes an 11-item self-report measure of competitiveness (variable names starting with 'Comp_'). The items were responded to on a 5-point Likert scale (Strongly Disagree = 1; Strongly Agree = 5). Two of the items (items Comp_2 and Comp_10) are negatively keyed.
Reverse score the two negatively keyed items and label the reverse scored items Comp_2_r and Comp_10_r.
What is the mean associated with the Comp_10_r?
a. 3.917
b. 2.913
c. None of the other options is correct.
d. 2.891
e. 4.159
f. 3.336
QUESTION 18
1. Create a composite (average) score associated with the 11 Competitiveness items (items starting with Comp_), whereby higher scores indicate greater competitiveness (be mindful of the negatively keyed items). Name the composite score variable ‘Comp_avg_r’.
What is the mean associated with ‘Comp_avg_r’ variable?
a. 2.985
b. 3.124
c. 3.474
d. None of the other options is correct.
e. 2.521
f. 3.101
QUESTION 19
1. Calculate the standard error of the mean for the ‘Comp_avg_r’ variable. What is it?
QUESTION 20
1. On the basis of your answers to the preceding two questions (and perhaps some further calculations), would you say that, on average, people in the sample were statistically significantly competitive (alpha = .05), where a mean value of 3.0 is considered a neutral level of competitiveness? What is the key result required to answer this question?
a. No, key result = 3.287
b. None of the other options is correct.
c. Yes, key result 3.287
d. Yes , key result = 3.38
e. No, key result = 3.38
f. Cannot be determined.
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