Question

One issue in comparing BMI between groups is the underlying distribution of BMI. The mean BMI of the 143 boys was 21.8 with $s d=3.4 .$ The distribution of BMI was as shown in Table $10.40 .$ What test procedure can be used to assess whether the distribution of BMI among the boys is normal?

Name: Problem 99, Chapter 10: Fundamentals of Biostatistics
Uploaded: 2023-01-31T15:58:15-08:00
Channel: Rashmi Sinha
Description: One issue in comparing BMI between groups is the underlying distribution of BMI. The mean BMI of the 143 boys was 21.8 with s d=3.4 . The distribution of BMI was as shown in Table 10.40 . What test procedure can be used to assess whether the distribution of BMI among the boys is normal?

   One issue in comparing BMI between groups is the underlying distribution of BMI. The mean BMI of the 143 boys was 21.8 with $s d=3.4 .$ The distribution of BMI was as shown in Table $10.40 .$
What test procedure can be used to assess whether the distribution of BMI among the boys is normal?

Fundamentals of Biostatistics

Bernard Rosner 8th Edition

Chapter 10, Problem 99

Instant Answer

Solved by Expert Rashmi Sinha

01/31/2023

Step 1

First, we need to check the normality of the distribution of BMI among the boys. There are several methods to test the normality of a distribution, such as the Shapiro-Wilk test, the Kolmogorov-Smirnov test, or the Lilliefors test. Show more…

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One issue in comparing BMI between groups is the underlying distribution of BMI. The mean BMI of the 143 boys was 21.8 with $s d=3.4 .$ The distribution of BMI was as shown in Table $10.40 .$ What test procedure can be used to assess whether the distribution of BMI among the boys is normal?

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Key Concepts

Normality Testing

Normality testing involves evaluating whether a dataset follows a normal distribution, which is a common assumption in many statistical tests. It is an important step because many statistical methods rely on the data being normally distributed, and deviations from normality can affect the validity of these methods.

Shapiro-Wilk Test

The Shapiro-Wilk test is a widely used statistical test that assesses the normality of a data sample. It calculates a test statistic based on the order statistics of the data, and a low p-value from the test indicates that the null hypothesis of normality should be rejected. This test is particularly powerful for detecting departures from normality, especially in small to moderate sample sizes.

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