# Type 1 Error Calculator

Online type I error probability calculator helps you to calculate the probability of obtaining a type 1 error. Type I error is a scenario where you have interpreted as an error which is not present, while a type II error is a scenario where you have missed to detect an actual error that has been over in the past. This type 1 error calculator helps you calculate the mean, standard deviation, count, signal, sp, noise, T value and the P Value.

## Type I Error Probability Calculator

Online type I error probability calculator helps you to calculate the probability of obtaining a type 1 error. Type I error is a scenario where you have interpreted as an error which is not present, while a type II error is a scenario where you have missed to detect an actual error that has been over in the past. This type 1 error calculator helps you calculate the mean, standard deviation, count, signal, sp, noise, T value and the P Value.

Code to add this calci to your website  #### Formula:

T-Value = Signal / Noise Sp = √[(((n1-1)x(S12)) + ((n2-1)x(S22)))/ (n1+n2-2)] Noise = Sp √[(1/n1) + (1/n2)] Signal = ȳ1 - ȳ2

### Example:

Calculate type I error probability for first data set y1such as 5,7,4,3 and second data set y2 such as 5,6,1,3.

#### Solution:

Step 1 :
Find Mean of y1 and y2,
1 = (5 + 7 + 4 + 3) / 4
= 4.75
2 = (5 + 6 + 1 + 3) / 4
= 3.75

Step 2 :
Find Variances of (S12) & (S22),
S12 = 1.707825
S22 = 2.217356

Step 3 :
Find Signal,
1 - ȳ2 = 4.75 - 3.75
= 1

Step 4 :
Find Sp,
= √[(((n1-1)x(S12)) + ((n2-1)x(S22)))/ (n1+n2-2)]
= √[(((4-1)x(1.7078252)) + ((4-1)x(2.2173562)))/ (4+4-2)]
= 1.979057

Step 5 :
Find T-Value and P-Value,
T-Value (Type 1 Error Probability) = Signal / Noise
= 1 / 1.399405
= 0.71459
P-Value = 0.501705 (from T to P value table)