Statistical Design of Experiments

Statistical Design of Experiments

Statistical Design of Experiments

Statistical Design of Experiments

The Alternate Hypothesis for

The Alternate Hypothesis for

the seed type would be:

the seed type would be:

From the Corn Yield Example:

From the Corn Yield Example:

Two levels of the input factor seed

Two levels of the input factor seed

type are to be tested

type are to be tested (Type A, Type B)

(Type A, Type B)

The Null Hypothesis for the

The Null Hypothesis for the

seed type would be:

seed type would be:

HH

HH

oA

oA

: :

: :

Seed Type ASeed Type A

Seed Type ASeed Type A

=

=

Seed Type BSeed Type B

Seed Type BSeed Type B

No Differencein Average Yield Between Type A and Type B

No Differencein Average Yield Between Type A and Type B

in Average Yield Between Type A and Type B

in Average Yield Between Type A and Type B

Difference

Difference

The Purpose of Hypothesis

The Purpose of Hypothesis

Testing is to determine if the

Testing is to determine if the

Null Hypothesis should or

Null Hypothesis should or

shouldn’t be rejected as a

shouldn’t be rejected as a

true statement.Test, etc.)

true statement.

If the Null Hypothesis is

If the Null Hypothesis is

rejected then one of the seed

rejected then one of the seed

types will improve corn yield

types will improve corn yield

(i.e. a significant difference

(i.e. a significant difference

exists between the response

exists between the response

average of the factor levels).

average of the factor levels).

The Null hypothesis is tested

The Null hypothesis is tested

by comparing a calculated

by comparing a calculated

test statistic to a critical value

test statistic to a critical value

found in a table (i.e. t-Test,

found in a table (i.e. t-Test,

2

2

Test, F-Test, etc.)

Test, F-Test, etc.)

In Design of Experiments, the F-

In Design of Experiments, the F-

Test Methodology is used. If the

Test Methodology is used. If the

calculated F value for an input

calculated F value for an input

factor is greater than the

factor is greater than the

appropriate critical F value found

appropriate critical F value found

in an F-Table, then the Null

in an F-Table, then the Null

-Table, then the Null

Table, then the Null

Hypothesis for the input factor

Hypothesis for the input factor

would be rejected.

would be rejected.