Question: An analyst plans to construct family-wise confidence intervals for normal linear model parameters {????(1),, ????(g) } in estimating an effect as part of a metaanalysis

An analyst plans to construct family-wise confidence intervals for normal linear model parameters {????(1),…, ????(g)

} in estimating an effect as part of a metaanalysis with g independent studies. Explain why constructing each interval with confidence level (1 − ????)
1∕g provides exactly the family-wise confidence level (1 − ????). Prove that such intervals are narrower than Bonferroni intervals.

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