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In a Completely Randomized (One-Way) ANOVA, with Other Things Being

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In a completely randomized (one-way) ANOVA, with other things being equal, as the sample means get closer to each other, the probability of rejecting the null hypothesis decreases.


Definitions:

Judgment Sampling

A non-probability sampling technique where the researcher selects units to be sampled based on their knowledge and professional judgment.

Stratified Random Sample

A method of sampling that involves dividing a population into smaller groups, known as strata, and then randomly selecting samples from each stratum.

Sample Standard Deviation

Sample standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is computed from the square root of the variance of the sample.

Sample Mean

The average value computed from a sample of a population, used as an estimate of the population mean.

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