Q. 10.74 Discuss the relative advantages ... [FREE SOLUTION]

Chapter 10: Q. 10.74 (page 428)

Discuss the relative advantages and disadvantages of using pooled and non pooled -procedures.

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The advantages of pooled procedure:

When $蟽_{1} = 蟽_{2}$ this process is more effective than non-pooled operations.

Disadvantage of polled procedure:

When sample sizes are small, checking for equal population standard deviation is challenging.

Advantage of non-pooled procedure:

This approach is used to determine whether the population standard deviations are equal, or if the assumption $蟽_{1} = 蟽_{2}$ is violated.

Disadvantage of non-pooled procedure:

The two sample $t$ -statistics do not have a $t$ -distribution if the standard deviations are different.

To find the advantages and disadvantages of pooled and non-pooled $t -$ test.

The benefits and drawbacks of pooled and non-pooled $t$ procedures are listed below.

Advantages of pooled procedure:

The capacity to compare results and test models across sites or settings, as well as chances to generate new metrics, are all advantages of pooling individual subject data.

Disadvantages of pooled procedure:

If the population standard deviations differ, this test will result in a larger level of inaccuracy in the value.
If the standard deviations are not equal, this procedure cannot be employed.

The advantage of non pooled procedure:

The unpaired t method examines the null hypothesis that the population averages of two separate, random samples drawn from a roughly normal distribution are equal.

The disadvantage of non pooled procedure: