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17 Cards in this Set
- Front
- Back
A contingency table is aka:
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a two-way frequency table
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A contingency table is:
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a table in which frequencies correspond to two variables.
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In a contingency table, one variable is used to __________, and a second variable is used to ______________.
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In a contingency table, one variable is used to categorize rows, and a second variable is used to categorize columns.
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What are the two different types of hypothesis tests using contingency tables?
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The test of independence and the test of homogeneity.
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A test of independence tests:
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the null hypothesis that the row and column variables are independent in a contingency table.
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A test of homogeneity tests:
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the claim that different populations have the same proportions of some characteristics.
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When using contingency tables:
O represents: |
the observed frequency in a cell of the table.
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When using contingency tables:
E represents: |
the expected frequency in a cell, found by assuming the row and column variables are independent.
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When using contingency tables:
r represents: |
the number of rows in a contingency table.
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When using contingency tables:
c represents: |
the number of columns in a contingency table.
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What are the requirements for conducting a hypothesis test for independence using a contingency table?
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1) The sample data are randomly selected.
2) The sample data are represented as frequency counts in a two-way table. 3) For every cell in the contingency table, the EXPECTED frequency is at least 5. |
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What is a contingency table used to test?
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Whether the variables in rows are dependent or independent of the variables in columns of a table.
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When conducting a hypothesis test for independence using a contingency table, what are:
H₀: Hₐ: |
H₀: The row and column variables are independent.
Hₐ: The row and column variables are dependent. |
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What is the procedure calculating an independence test of a contingency table on the TI-84?
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2nd, matrix, edit, row x column.
stat, test, X²-test. |
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What distribution is used in the independence test of a contingency table?
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the chi-squared distribution.
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What is the degrees of freedom for the independence test of a contingency table?
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df = (r − 1)(c − 1)
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What is the procedure for conducting the independence test of a contingency table?
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1) Verify the requirements are met.
2) Determine H₀ & Hₐ. 3) Find X²cr. 4) Find X²test. 5) Find P-v 6) Make statement. |