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13.2 The F Distribution and the F Ratio

Building the F ratio from variation between groups over variation within groups, with separate numerator and denominator degrees of freedom.

Statistics, 13.2 The F Distribution and the F Ratio

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10 exercises

13.2 Exercise 1

As part of an experiment to see how different types of soil cover would affect slicing tomato production, Marist College students grew tomato plants under different soil cover conditions. Groups of three plants each had one of the following treatments:

  • Bare soil
  • A commercial ground cover
  • Black plastic
  • Straw
  • Compost

All plants grew under the same conditions and were the same variety. Students recor…

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13.2 Exercise 2

What is the sum of squares factor?

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13.2 Exercise 4

What is the df for the numerator?

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13.2 Exercise 6

What is the mean square factor?

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13.2 Exercise 8

What is the F statistic?

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13.2 Exercise 10

What is the df for the numerator?

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13.2 Exercise 12

What is SSwithin?

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13.2 Exercise 14

What is MSwithin?

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13.2 Exercise 16

Judging by the F statistic, do you think it is likely or unlikely that you will reject the null hypothesis?

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13.2 Exercise 18

Hα: At least any two of the group means µ1, µ2, …, µ5 are not equal.

degrees of freedom – denominator: df(denom) = ________

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.