Statistical assessment of causation. The t-Test

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BI 152 Week 13 Spr. 11 Name _______________________________

t Test: comparing the means of two samples

sample 1 sample 2 sample 1 sample 2

There are many statistical tests – see p. 50 in Ambrose for the decision tree.

Notice the terms Parametric and Nonparametric

Parametric tests assume several things

The data are continuous (you can do averages)

The data are normally distributed

Nonparametric tests are used when

The distribution shape is not normal or is unknown, or,

The data are discontinuous

The X 2 test is an example of a nonparametric test

The t Test is on page 43 of Ambrose.

It is a parametric evaluation of the means of independent samples. In figure on p. 43. You can see two normal distributions whose means are different. But are they different enough?

The t-Test answers the question:

Are the sample means different enough to reject the null hypothesis of no difference?

If you want to see how to calculate the tTest by hand, go to page 86.

Excel and many online calculators will do this for you. We will use graphpad

Example: Sample data for Flustop

Number of days with symptoms

Given Flu Stop Not given Flustop

4

4

6

4

5

4

6

7

5

5

4

7

4

5

5

7

5

4

6

6

4

7

7

6

5

4

4

6

6

4

1

BI 152 Week 13 Spr. 11 Name _______________________________

Let’s do this with excel and with http://www.graphpad.com/quickcalcs/ttest1.cfm

What was the t statistic?

What is your conclusion?

Have you made a Type I or Type II error? How do you know?

2

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