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Square and Table
For F, Numerator of on top, denominator of on side Upper Tail Probabilities
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t(.05)
t(.025)
X2(.05)
F(.05,1)
F(.05,2)
F(.05,3)
F(.05,4)
F(.05,5)
F(.05,6)
F(.05,7)
F(.05,8)
F(.05,9)
F(.05,10)
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How to fill out chi-square and f-table
How to fill out chi-square and f-table
01
To fill out the chi-square table, follow these steps:
02
Begin by listing the observed frequencies from your data in a contingency table.
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Calculate the expected frequencies for each cell in the table. This can be done by multiplying the row total by the column total and dividing by the grand total.
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Calculate the chi-square statistic for each cell by using the formula: (observed frequency - expected frequency)^2 / expected frequency.
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Sum up the chi-square values for all cells to get the total chi-square statistic for the table.
06
Look up the critical value of chi-square in the chi-square distribution table for your desired level of significance and degrees of freedom.
07
Compare the calculated chi-square value with the critical value. If the calculated value is greater than the critical value, reject the null hypothesis.
08
To fill out the f-table, follow these steps:
09
Determine the degrees of freedom for the numerator and the denominator.
10
Identify the level of significance or alpha value.
11
Look up the critical value of f in the f-distribution table using the degrees of freedom values and the alpha value.
12
Compare the calculated f-value with the critical value. If the calculated value is greater than the critical value, reject the null hypothesis.
Who needs chi-square and f-table?
01
Chi-square and f-tables are commonly used in statistical analysis and hypothesis testing.
02
Researchers, statisticians, and analysts often use chi-square tests to determine if there is a significant association between two categorical variables.
03
Chi-square tests can be useful in various fields such as medicine, social sciences, market research, and quality control.
04
F-tables are primarily used for analysis of variance (ANOVA) tests, which are conducted to compare means of multiple groups or treatments.
05
Researchers in fields like psychology, biology, economics, and engineering frequently use ANOVA tests.
06
Anyone conducting statistical analysis and hypothesis testing may need to refer to chi-square and f-tables.
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What is chi-square and f-table?
Chi-square and F-tables are statistical tools used to determine whether there is a significant difference between observed and expected frequencies (chi-square) or to compare the variances across different samples (F-table).
Who is required to file chi-square and f-table?
Researchers and statisticians conducting hypothesis tests or analyses that involve categorical data (chi-square) or comparing variances of datasets (F-table) are required to use these tables.
How to fill out chi-square and f-table?
To fill out a chi-square table, calculate the chi-square statistic using observed and expected frequencies and compare this value against the critical value from the table. For the F-table, calculate the F statistic from variance estimates of different groups and compare it with critical values in the F-table.
What is the purpose of chi-square and f-table?
The purpose of the chi-square test is to assess the association between categorical variables, while the F-test is used to determine if there are significant differences between the variances of two or more groups.
What information must be reported on chi-square and f-table?
When reporting from the chi-square table, include the chi-square statistic, degrees of freedom, and the p-value. For the F-table, report the F statistic, degrees of freedom for the numerator and denominator, and the p-value.
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