# 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
S_{p} = √[(((n_{1}-1)x(S_{1}^{2})) + ((n_{2}-1)x(S_{2}^{2})))/ (n_{1}+n_{2}-2)]
Noise = S_{p} √[(1/n_{1}) + (1/n_{2})]
Signal = ȳ_{1} - ȳ_{2}
### Example:

Calculate type I error probability for first data set y_{1}such as 5,7,4,3 and second data set y_{2} such as 5,6,1,3.

#### Solution:

**Step 1 :**

Find Mean of y_{1} and y_{2},

ȳ_{1} = (5 + 7 + 4 + 3) / 4

= 4.75

ȳ_{2} = (5 + 6 + 1 + 3) / 4

= 3.75

**Step 2 :**

Find Variances of (S_{1}^{2}) & (S_{2}^{2}),

S_{1}^{2} = 1.707825

S_{2}^{2} = 2.217356

**Step 3 :**

Find Signal,

ȳ_{1} - ȳ_{2} = 4.75 - 3.75

= 1

**Step 4 :**

Find S_{p},

= √[(((n_{1}-1)x(S_{1}^{2})) + ((n_{2}-1)x(S_{2}^{2})))/ (n_{1}+n_{2}-2)]

= √[(((4-1)x(1.707825^{2})) + ((4-1)x(2.217356^{2})))/ (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)