This question is about how statistics arc reported in research ankles. Below is
ID: 3224341 • Letter: T
Question
This question is about how statistics arc reported in research ankles. Below is a brief excerpt from a study looking at how trained visual artists differ from non-artists in copying photographs of faces by sticking small pieces of tape within a grid to create pixelated-looking drawings of faces. The researchers were interested in whether the two groups differed in the accuracy of their depictions of faces. The dependent variable was a measure of accuracy, in which higher values indicate greater accuracy in copying the face. A total of 18 artists and 27 non-artists participated. Read the excerpt and answer the following questions. The excerpt A comparison of the accuracy values of artists and non-artists revealed a highly reliable difference, t (43) - -6.97, pExplanation / Answer
Part-A
Null hypothesis H0: µ1=µ2
Alternative hypothesis Ha: µ1µ2
Here µ1 and µ2 are the true mean accuracy of artists and non-artists respectively.
Part-B
Independent variable is Artist which is 1 for artist and 2 for non-artist.
Part-C
Independent sample t-test assuming equal variance was used.
Part-D
Students’ t-sampling distribution with 43 degree of freedom was used
Part-E
As p<0.001<0.05, so we reject the null hypothesis
Part-F
Effect size is Cohens’ d=2.15 which is quite large and so accuracy depends on artist/non-artist.
Part-G
As null hypothesis was rejected we conclude that accuracy of artists is significantly difference from non-artists.
Part-H
As effect size was large so there is high probability of detecting the true differences and hence power is high. The results are consistent as power and rejecting the null hypothesis strongly.
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