The document explains the one-sample Wilcoxon test, which is used to determine if a sample is statistically similar to or different from a population. It provides an example comparing IQ scores, where researchers took a random sample of 20 people and want to know if the sample's mean of 70 is representative of the overall population's mean of 100. The one-sample Wilcoxon test compares the sample and population medians to determine the probability that the sample and population are statistically similar or different.

1. What is a One-Sample Wilcoxon Test?
One-Sample Wilcoxon Test

2. Welcome to a presentation explaining the concepts
behind the use of a One-Sample Wilcoxon Test
One-Sample Wilcoxon Test

3. Welcome to a presentation explaining the concepts
behind the use of a One-Sample Wilcoxon Test in
determining the probability that a sample and a
population are similar to or different from one another
statistically.
One-Sample Wilcoxon Test

4. We will follow an example where researchers attempt
to determine if the sample they have collected is
statistically significantly similar or different from a
population.
One-Sample Wilcoxon Test

5. Their hope is that the sample and population are
statistically similar to one another, so they can claim
that results of experiments done to the sample are
generalizable to the population.
One-Sample Wilcoxon Test

6. Let’s imagine that this is the population distribution for
IQ scores in the country:
One-Sample Wilcoxon Test

7. Let’s imagine that this is the population distribution for
IQ scores in the country:
One-Sample Wilcoxon Test

8. It has a population
mean of 100
One-Sample Wilcoxon Test

9. m = 100
One-Sample Wilcoxon Test

10. m = 100
This Greek symbol
represents the mean
of a population
One-Sample Wilcoxon Test

11. We decide to select a random sample to do
experiments on.
m = 100
One-Sample Wilcoxon Test

12. So, we randomly
select 20 persons
m = 100
One-Sample Wilcoxon Test

13. Let’s say that sample
of 20 has an IQ score
mean of 70
m = 100
One-Sample Wilcoxon Test

14. m = 100𝒙 = 70
Let’s say that sample
of 20 has an IQ score
mean of 70
One-Sample Wilcoxon Test

15. m = 100𝒙 = 70
Note, this x with a bar
over it is the symbol
for a sample mean.
One-Sample Wilcoxon Test

16. m = 100𝒙 = 70
Again this Greek
symbol m is the symbol
for a population mean.
One-Sample Wilcoxon Test

17. m = 100𝒙 = 70
Along with a mean of
70 this sample has a
distribution that looks
like this
One-Sample Wilcoxon Test

18. m = 100𝒙 = 70
Along with a mean of
70 this sample has a
distribution that looks
like this
One-Sample Wilcoxon Test

19. m = 100𝒙 = 70
Because our sample size is
20 and the distribution is
skewed . . .
One-Sample Wilcoxon Test

20. m = 100𝒙 = 70
We will not use a Single-
Sample t-test. Instead we
will use a One-Sample
Wilcoxon Test
One-Sample Wilcoxon Test

21. m = 100𝒙 = 70
And when we use any
non-parametric tests we
will compare the sample
median to the population
median
One-Sample Wilcoxon Test

22. Mdn = 100𝐌𝐝𝐧 = 70
And when we use non-
parametric tests we will
compare the sample
median to the population
median
One-Sample Wilcoxon Test

23. So, here’s the question:
One-Sample Wilcoxon Test
Mdn = 100𝐌𝐝𝐧 = 70

24. Is this randomly selected sample of 20 IQ scores
representative of the population?
Mdn = 100𝐌𝐝𝐧 = 70
One-Sample Wilcoxon Test

25. The One-Sample Wilcoxon Test is a tool used to
determine the probability that it is or is not.
Mdn = 100𝐌𝐝𝐧 = 70
One-Sample Wilcoxon Test

26. End of Presentation
One-Sample Wilcoxon Test