- #1

Agent Smith

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- 22

- TL;DR Summary
- what do statistical errors, Type I and Type II, depend on?

Reached Hypothesis testing in my statistics notes (high school level).

It reads ...

1. Type I Error: Rejecting the null (hypothesis), ##H_0##, when ##H_0## is true. The risk of a Type I error can be reduced by

2. Type II Error: Failing to reject the ##H_0## when ##H_0## is false. The risk of a Type II error can be reduced by

a.

b. Taking a larger sample (sample size)

c. It would be convenient if there's less variation in the parent population.

d. I think I'm forgetting something here ...

I would like to know what the justifications for 2b, 2c are and is there a 2d?

Gracias, muchas

It reads ...

1. Type I Error: Rejecting the null (hypothesis), ##H_0##, when ##H_0## is true. The risk of a Type I error can be reduced by

*lowering*the significance level ##\alpha##. The downside is this increases the risk of a Type II error.2. Type II Error: Failing to reject the ##H_0## when ##H_0## is false. The risk of a Type II error can be reduced by

a.

*Raising*the significance level ##\alpha##. The downside, this increases the risk of a Type I errorb. Taking a larger sample (sample size)

c. It would be convenient if there's less variation in the parent population.

d. I think I'm forgetting something here ...

I would like to know what the justifications for 2b, 2c are and is there a 2d?

Gracias, muchas