what is a one sample wilcoxon test
TRANSCRIPT
What is a One-Sample Wilcoxon Test?
One-Sample Wilcoxon Test
Welcome to a presentation explaining the concepts behind the use of a One-Sample Wilcoxon Test
One-Sample Wilcoxon Test
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
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
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
Let’s imagine that this is the population distribution for IQ scores in the country:
One-Sample Wilcoxon Test
Let’s imagine that this is the population distribution for IQ scores in the country:
One-Sample Wilcoxon Test
It has a population mean of 100
One-Sample Wilcoxon Test
m = 100
One-Sample Wilcoxon Test
m = 100
This Greek symbol represents the mean
of a population
One-Sample Wilcoxon Test
We decide to select a random sample to do experiments on.
m = 100
One-Sample Wilcoxon Test
So, we randomly select 20 persons
m = 100
One-Sample Wilcoxon Test
Let’s say that sample of 20 has an IQ score
mean of 70
m = 100
One-Sample Wilcoxon Test
m = 100 = 70
Let’s say that sample of 20 has an IQ score
mean of 70
One-Sample Wilcoxon Test
m = 100 = 70
Note, this x with a bar over it is the symbol for a sample mean.
One-Sample Wilcoxon Test
m = 100 = 70
Again this Greek symbol m is the
symbol for a population mean.
One-Sample Wilcoxon Test
m = 100 = 70
Along with a mean of 70 this sample has a
distribution that looks like this
One-Sample Wilcoxon Test
m = 100 = 70
Along with a mean of 70 this sample has a
distribution that looks like this
One-Sample Wilcoxon Test
m = 100 = 70
Because our sample size is 20 and the distribution is
skewed . . .
One-Sample Wilcoxon Test
m = 100 = 70
We will not use a Single-Sample t-test. Instead we
will use a One-Sample Wilcoxon Test
One-Sample Wilcoxon Test
m = 100 = 70And when we use any non-
parametric tests we will compare the sample
median to the population median
One-Sample Wilcoxon Test
Mdn = 100 = 70And when we use non-parametric tests we will
compare the sample median to the population
median
One-Sample Wilcoxon Test
So, here’s the question:
One-Sample Wilcoxon Test
Mdn = 100 = 70
Is this randomly selected sample of 20 IQ scores representative of the population?
Mdn = 100 = 70
One-Sample Wilcoxon Test
The One-Sample Wilcoxon Test is a tool used to determine the probability that it is or is not.
Mdn = 100 = 70
One-Sample Wilcoxon Test
End of Presentation
One-Sample Wilcoxon Test