Statistics 简明教程

Statistics - Comparing Plots

可以使用箱线图比较人群组。总体可见的分布和中位数之间的差异用于得出是否存在两组之间差异的结论。

Groups of population can be compared using box and whisker plots. Overall visible spread and difference between median is used to draw conclusion that there tends to be a difference between two groups or not.

comparing plots

Formula

其中——

Where −

  1. ${P}$ = percentage difference

  2. ${DBM}$ = Difference Between Medians.

  3. ${OVS}$ = Overall Visible Spread.

Rules

  1. For a sample size of 30 if this percentage is greater than 33% there tends to be a difference between two groups.

  2. For a sample size of 100 if this percentage is greater than 20% there tends to be a difference between two groups.

  3. For a sample size of 1000 if this percentage is greater than 10% there tends to be a difference between two groups.

Example

Problem Statement

描述以下数据集之间的差异。

Describe the difference between following sets of data.

Sr.No.

Name

Set A

Set B

1

Max

12

15

2

UQ

10

13

3

Median

7

10

4

LQ

6

9

5

Min

5

6

Solution

考虑以下图表 −

Consider the following diagram −

comparing plots1

应用该公式

Apply the formula

由于百分比超过 33%，因此集合 A 和集合 B 之间存在差异。集合 B 大于集合 A 的可能性较大。

As percentage is over 33% thus there is difference between Set A and Set B. It is likely that Set B is greater than Set A.

Calculator