Hi,

I want to understand the actual meaning of t-value.As I understand that t-test is for mean checking of no. of datasets.

What happens if t-value more or less.

Could you pl put some light on this.

Rds.

Yogesh

 

Hi Yogesh,

The T value or test statistic for any hypothesis test is actually:

(mean - target)/SE mean

Often, this value is compared to a critical value. As your T value gets larger, your p-value becomes smaller.

Meaning that chances of rejecting null hypothesis increases.

 

Hope this will help!

 

wbr,

Sujeet Singh

Thanks Mr. Sujeet,

I have got some understanding after your reply.

It will be a great help if you could explain the interpretation of t-value with an example.

Rds,

Yogesh

 

 

Yogesh,

 

If possible conduct 3 or 4 different tests. You will see from your test results that if the T value is below 1.5 or 1 the P value will be high, if your T value is negative your p value will fall under 0.6,0.4 something like this. Which indicates the acceptance of null hypothesis will be high for low T values.

Presenting all the tests here will not be possible however I am mentioning T and P values of few tests as mentioned below

 

Test           T value           P value

1                 2.28               0.024

2                 19.82              0.00000

3                 2.29               0.034

4                 -1.17             0.864

 

One test for the last t & P value. As part of a larger effort to reduce the entire response time when a customer requests special pricing, a new system is being tested to reduce the time to enter a SPA. The new system will be implemented if it reduces the response time by 5.0 minutes. The following data was collected:

Manager Proposed Old

A 15.5 15.5

B 19.5 15.5

C 23.0 19.0

D 26.5 18.0

E 20.5 15.0

F 17.0 12.5

G 30.5 26.5

H 5.0 5.5

I 7.5 4.0

J 14.5 8.0

Paired t-test and Confidence Interval

Paired T for Old - Proposed

N Mean StDev SE Mean

Old 10 17.95 7.89 2.50

Proposed 10 13.95 6.78 2.14

Difference 10 4.000 2.698 0.853

95% CI for mean difference: (2.070, 5.930)

t-test of mean difference = 5 (Vs > 5): T-Value = -1.17 P-Value = 0.864

Hope this will clarify your your doubts.

 

wbr

Sujeet Singh