Lecture 7 - Chi square Flashcards

1
Q

When should you use a chi square test?

A
  • it is a non-parametric test that measures the difference between the observed and expected frequencies of the outcomes of a set of variables
  • when you have a categorical design
  • when you have nominal data
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2
Q

What is expected frequency?

A

frequency we would predict if belonging to each category were random

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3
Q

What is observed frequency?

A

frequency that occur in the data set

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4
Q

When should you use a chi squared goodness of fit test?

A
  • if your research question is something like this ‘is the frequency of preference for a module in your observed data significantly different from the frequencies you would expect randomly (without preferences)?’
  • if you have 1 variable and use a frequency table
  • answers the question of how the observed value of a given phenomena is significantly different from the expected value
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5
Q

When should you use chi squared test of association?

A
  • when you have 2 variables with different categories
  • if your research question is something like this ‘do students who took a level biology and students who took maths a level differ in their module preference?’
  • should use a contingency table look at e.g.
  • answers the question of whether or not there is a significant association between the 2 variables
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6
Q

How to know if the chi squared is significant?

A
  • your p value will be significant if it less than or equal to 0.05
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7
Q

How to report a chi squared?

A

x² (df, N= XX) = XX.XX, p =.XXX/OR/p<.001

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8
Q

What are the assumptions for chi squared?

A
  • the level of measurement of all variables is nominal (sometimes ordinal)
  • each participant must contribute to 1 and only 1 cell (mutually exclusive)
  • the values of the cell should be frequencies or counts, not percentage
  • the value of the cell expected should be 5 or more in at least 80% of the cells and no cell should have an expected of less than 1
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