# An IO psychologist is measuring the number of items a factory worker produces du

An IO psychologist is measuring the number of items a factory worker produces during the morning, afternoon or at night. What kind of test should be used on this data?
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Gennenzip
Step 1
ANOVA:
The analysis of variance test is used to compare the difference between more than two means.
In this model there is one dependent variable and one independent variable (with more than 2 levels)
Assumptions for ANOVA:
Samples considered are taken at random and are of independent to each other.
Samples taken from a normal population.
The variances of probability distributions are equal.
Step 2
The type of study used for the given study is determined below as follows:
From the information, given that the IO psychologist is measuring the number of items in a factory for which the worker produces during the three shifts morning, afternoon or at night.
This clearly indicates that the type of study used here is “ One way ANOVA”, because here were are testing the difference between more than two population means.
Moreover ANOVA is used to test the null hypothesis with the samples in all groups that are drawn from populations which consists of same mean values.
The variance between the group means must be lower compared to the variance of the samples, following the central limit theorem if the group means are being drawn from populations with the same mean value. This implies that the higher F-ratio means, the samples were drawn from populations with different mean values.
Moreover if the F- ratio is high, implies that the mean number of items in the factory workers produces during the morning, afternoon or at night shifts are different.