Non-Parametric One Sample Test of Difference

Question 1

what is the wilcoxon signed rank test?

Answer 1

an alternative non-parametric method of one sample t-test

Question 2

what is the wilcoxon test used for?

Answer 2

to test whether the location (median) of the measurement if equal to a specific value

Question 3

what does the wilcoxon test not require?

Answer 3

no assumption for the distribution of measurement

Question 4

null hypothesis

Answer 4

median = m

Question 5

alternative hypothesis

Answer 5

median ≠ m

Question 6

steps for data of one sample

Answer 6

1. calculate the difference between each observation and the interest value
2. exclude any difference = 0
3. classify order differences by magnitude
4. sum up rankings of positive differences
5. sum up rankings of negative differences
6. select the smallest of these sums and call it T

Question 7

what should the t-value be compared to?

Answer 7

probability statistic or p-value that should be less than 0.05

Question 8

what is compared in a one sample wilcoxon signed rank test?

Answer 8

your sample with the median of a known larger sample or population

Question 9

APA write up

Answer 9

the analysis demonstrated that the sample was significantly different from the population (p = 0.07)

Question 10

SPSS write up

Answer 10

the analysis demonstrated that the sample was significantly different from the population (t = 782.5, p = 0.07)