1. When we state that there is homogeneity of variance, precisely which variances are homogeneous? Use...

1. When we state that there is homogeneity of variance, precisely which variances are homogeneous? Use words, not symbols.

2. It is important to keep the probability of making Type I equal to α. With a t-test, how do we keep the probability of Type I error in check?

Expert Solution

The assumption of homogeneity of variance is that the variance within each of the populations is equal.Homogeneity of variance is an assumption underlying both t tests and F tests. Homogeneity of variance means the population variances of two or more samples are considered equal.

Or we can also says that the assumption of homogeneity of variance means that the level of variance for a particular variable is constant across the sample. If we have collected groups of data then this means that the variance of our outcome variable should be the same in each of these groups.

2. Since we know that in statistical inference , a type I error is the rejection of a true null hypothesis (also known as a "false positive" ). In t test we find the critical value of t test corresponding to given type 1error α which ist_α (say). So the probability of rejecting the null hypothesis when it is true is the probability that t > t_α. For example,

In a statistical test (such as a t test) with α= 0.05, if the null hypothesis is true then the probability of not obtaining a significant result is 1 – 0.05 = 0.95.

orchestra answered 1 year ago

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