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12 Cards in this Set
- Front
- Back
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Describe Analysis of Variance
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type of significance test that allows, in a single test, several samples to be compared under the hypothesis that they have all come from the same population (or the populations from which they came all have the same mean).
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Applications for Analysis of Variance
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1. Assembly lines
2. Fertilizers |
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One-way Analysis of Variance differs from Two-way in what respect?
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One-way Analysis will tell whether a difference exists, it does not show whether it is because of one particular sample or group of samples.
Two-way analysis allows a source of systematic variation to be isolated. Called 'Two-way' as it looks at two sources of variation. |
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The first grouping is referred to as the ...
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treatments
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The second grouping are referred to as the ...
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blocks
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Define the total sum of squares
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the total variation of all observations regardless of the treatments. Referred to as Total SS
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Define the sum of squares between treatments
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This is the variation between the treatments. Known as SST
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Define the Error Sum of the Squares
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the variation within the treatments. Known as 'Error' since the variation is unexplained since coming from same treatment. Known at SSE
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How do you calculate a mean square?
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Divide the Mean Square by the degrees of freedom.
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Describe an ANOVA table
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Table to help organize data and calculations for One-Way and Two-Way Variance Analysis. Rows to include: Explained by Treatment, Explained by Blocks (2-Way), Error or unexplained and Total. The Columns would include: Degrees of Freedom, Sum of Squares, Mean Square and F.
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How do you calculate the SSE for a Two-Way Analysis of Variance?
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Using the formula of:
SS = SST + SSB + SSE; therefore, SSE = SS - SST - SSB |
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How do you test the effects of the blocks in Two-Way analysis of variance?
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by calculating the observed F value and comparing with the critical value for F at 5% level.
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