1D ANOVA takes an array, X, of experimental observations made at various levels of a factor, with at least one observation per level, and performs a one-way analysis of variance in the fixed effect model. Details
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X contains all the observational data. |
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Index contains the level to which the corresponding observation belongs. |
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# of levels is the total number of levels. |
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f is a ratio where f=msa/mse. |
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ssa is a measure of variation attributed to the factor. |
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sse is a measure of variation attributed to random fluctuation. |
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mse is the mean square quantity associated with sse. It is calculated by dividing sse by its own degree of freedom. |
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msa is the mean square quantity associated with ssa. It is calculated by dividing ssa by its degree of freedom. |
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tss is the total sum of squares, which is a measure of the total variation of the data from the overall population mean. It is calculated using tss=ssa+sse. |
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error returns any error or warning condition from the VI. |
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Given a particular f, sigA is the probability that you will get a value larger than f when sampling from an F distribution. |
In the one-way analysis of variance, the VI tests whether the level of the factor has an effect on the experimental outcome. Refer to Factors and Levels, Statistical Model, Assumptions, Hypothesis, General Method, Testing the Hypothesis, and Formulas for more information.