Your Result is copied!

ADVERTISEMENT

Add this calculator to your site

ADVERTISEMENT

ADVERTISEMENT

An online p value calculator from t score helps you to calculate the p value of a sample accurately. Before we start using this calculator, let us have a proper guide to t score in the content of statistics.
## What is T Score in Statistics?

**A t score refers to the deviation in data from the mean position.**
**For example:**
Let us discuss a real-life example of t score:
Suppose you are asked for **BMD** which is a test done to measure the bone density of an adult. After the test is performed, the score that you get is actually the deviation from the mean position.
### T Score Formula:

When you have a very small sample **(<30)**, then you need to use t score formula given below:
**T = (X – μ) / [ σ/√(n) ]**
where;
**x** = sample mean
**μ**= population mean
**s** = sample standard deviation
**n** = sample size
In a condition when n becomes** 1,** the square root becomes one as well **(1 = 1)**and the above formula is as follows:
**T = (X – μ) / σ**
**Degree of Freedom for t Score:**
For determining the t score, the df is calculated by the formula:
**df = sample number - 1**
### T Score From Z Score:

Converting a z score to a t score is just like the way you convert Celsius to Fahrenheit. The basic formula used to convert the z score to a t score is given as follows:
**T = (Z x 10) + 50.**
It is important to keep in mind that:
Both z score and the t score show the deviations from the mean position. But we have to keep in mind that “0” on z score is always considered as a “0” standard deviation from the mean position. For t score the “0” deviation from the mean refers to a mean of 50.
A t score >50 is considered above average. Below 50 is below average. In general, a t score of above 60 means that the score is in the top one-sixth of the distribution; above 63, the top one-tenth. A t score below 40 indicates a lowest one-sixth position; below 37, the bottom one-tenth.
We have a table representing the equivalent z score and t scores as follows:

### How to Read a T Score Table:

You can find p value from t value using a t score table against the data you are provided with.
In a t score table,
**T-Distribution Table (One Tail):**

**T-Distribution Table (Two-Tailed):**

### How to Calculate P Value From T?

To understand the proper concept of p value from t statistic, let us solve a couple of examples:
**Example # 01:**
Suppose you performed a two-tailed test and got a t score of 3.25. The sample mean for test is 5 and the level of significance is 1%. calculate p-value from t.
**Solution:**
First of all, we need to determine the degree of freedom as follows:
**df = n - 1 **
**= 5 - 1**
**= 4**
By putting values against all parameters in online p value calculator from t score, we can calculate p value as follows:
**P value = 0.031**
**Example # 02:**
You performed a right tailed test in which A law school claims it’s graduates earn an average of $50 per hour. A sample of 10 graduates is selected and found to have a mean salary of $30 with a sample standard deviation of $50. Assuming the school’s claim is true, how to find p value with test statistics to show that the mean salary of graduates will be no more than $30?
**Solution:**
The given data is:
**x̄ = sample mean = 30**
**μ0 = population mean = 50**
**s = sample standard deviation = 50**
**n = sample size = 10**
Putting all the values in t score formula:
**T = (X – μ) / [ σ/√(n) ]**
**t = 30 - 50 / (50 / √10)**
**t = -20 / 15.822**
**t = -1.264**
Hence, this is our required p value.
For the sample size (n), we can find the degree of freedom as follows:
**df = n - 1 **
**= 10 - 1 **
**= 9**
Now, finding p value from t score will tell you about the probability of the situation that the mean salary of graduates will be no more than $30.
The p value is determined by using our free online p value calculator from t score is:
**P value = 0.88**
### How P Value Calculator From T Score Works?

P value from test statistics tells you about the probability of the hypothetical situation. You can easily work for the p value using our free online p value calculator from t score.
Let us see what steps you need to follow:
**Input:**
First of all, select either of the following options from the drop down list:
**Output:**
Depending upon the type of test you selected, the calculator calculates either:
## FAQ’s:

### Can you calculate p value from t statistic?

Yes, t statistic is a way that tells you how to find p value from test statistics by making a comparison between null hypothesis and alternative hypothesis.
### What is meant by statistically significant t value?

If the absolute t value gets equal to 1.96 or higher than this , we can say that the t value is statistically significant.
### What does a t value of 0 indicates?

A t value of 0 indicates that the results are equal to null hypothesis that we supposed.
### Can you calculate negative t values?

Whenever we see negative test statistics, we actually consider a value left to the mean value. From this, we can determine negative t values.
## Conclusion:

A t-test allows us to relate the average values of the two data sets and determine if they came from the same population. In the field of medical science, the t test is performed to measure the density of bones. An alternative approach is to use free online p value calculator from t score which makes it easier to find p value instantly.
## Reference:

From the source of Wikipedia: Student's t-distribution, Probability density function, Cumulative distribution function, Sampling distribution, Bayesian inference.
From the source of lumen learning: The t-Test, The t-Distribution, Distribution of a Test Statistic, t-Test for One Sample, Unpaired and Overlapping Two-Sample T-Tests, Independent Samples, Overlapping Samples, Slope of a Regression, Multivariate Testing, Alternatives to the t-Test, Cohen’s d.
From the source of khan academy: Test statistic in a two-sample t test, Conclusion for a two-sample t test using a P-value

Z score |
T score |

-5 |
0 |

-4 |
10 |

-3 |
20 |

-2 |
30 |

-1 |
40 |

0 |
50 |

1 |
60 |

2 |
70 |

3 |
80 |

4 |
90 |

5 |
100 |

- You have a df (degree of freedom) column on the most left side and;
- Each row against the individual df level represents the alpha level or significance level.

DF |
A = 0.1 |
0.05 |
0.025 |
0.01 |
0.005 |
0.001 |
0.0005 |

∞ |
ta = 1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.091 |
3.291 |

1 |
3.078 |
6.314 |
12.706 |
31.821 |
63.656 |
318.289 |
636.578 |

2 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
22.328 |
31.600 |

3 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
10.214 |
12.924 |

4 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
7.173 |
8.610 |

5 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
5.894 |
6.869 |

6 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
5.208 |
5.959 |

7 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
4.785 |
5.408 |

8 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
4.501 |
5.041 |

9 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
4.297 |
4.781 |

10 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
4.144 |
4.587 |

11 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
4.025 |
4.437 |

12 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
3.930 |
4.318 |

13 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
3.852 |
4.221 |

14 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
3.787 |
4.140 |

15 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
3.733 |
4.073 |

16 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
3.686 |
4.015 |

17 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
3.646 |
3.965 |

18 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
3.610 |
3.922 |

19 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
3.579 |
3.883 |

20 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
3.552 |
3.850 |

21 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
3.527 |
3.819 |

22 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
3.505 |
3.792 |

23 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
3.485 |
3.768 |

24 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
3.467 |
3.745 |

25 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
3.450 |
3.725 |

26 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
3.435 |
3.707 |

27 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
3.421 |
3.689 |

28 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
3.408 |
3.674 |

29 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
3.396 |
3.660 |

30 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
3.385 |
3.646 |

60 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
3.232 |
3.460 |

120 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |
3.160 |
3.373 |

1000 |
1.282 |
1.646 |
1.962 |
2.330 |
2.581 |
3.098 |
3.300 |

DF |
A = 0.2 |
0.10 |
0.05 |
0.02 |
0.01 |
0.002 |
0.001 |

∞ |
ta = 1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.091 |
3.291 |

1 |
3.078 |
6.314 |
12.706 |
31.821 |
63.656 |
318.289 |
636.578 |

2 |
1.886 |
2.920 |
4.303 |
6.965 |
9.925 |
22.328 |
31.600 |

3 |
1.638 |
2.353 |
3.182 |
4.541 |
5.841 |
10.214 |
12.924 |

4 |
1.533 |
2.132 |
2.776 |
3.747 |
4.604 |
7.173 |
8.610 |

5 |
1.476 |
2.015 |
2.571 |
3.365 |
4.032 |
5.894 |
6.869 |

6 |
1.440 |
1.943 |
2.447 |
3.143 |
3.707 |
5.208 |
5.959 |

7 |
1.415 |
1.895 |
2.365 |
2.998 |
3.499 |
4.785 |
5.408 |

8 |
1.397 |
1.860 |
2.306 |
2.896 |
3.355 |
4.501 |
5.041 |

9 |
1.383 |
1.833 |
2.262 |
2.821 |
3.250 |
4.297 |
4.781 |

10 |
1.372 |
1.812 |
2.228 |
2.764 |
3.169 |
4.144 |
4.587 |

11 |
1.363 |
1.796 |
2.201 |
2.718 |
3.106 |
4.025 |
4.437 |

12 |
1.356 |
1.782 |
2.179 |
2.681 |
3.055 |
3.930 |
4.318 |

13 |
1.350 |
1.771 |
2.160 |
2.650 |
3.012 |
3.852 |
4.221 |

14 |
1.345 |
1.761 |
2.145 |
2.624 |
2.977 |
3.787 |
4.140 |

15 |
1.341 |
1.753 |
2.131 |
2.602 |
2.947 |
3.733 |
4.073 |

16 |
1.337 |
1.746 |
2.120 |
2.583 |
2.921 |
3.686 |
4.015 |

17 |
1.333 |
1.740 |
2.110 |
2.567 |
2.898 |
3.646 |
3.965 |

18 |
1.330 |
1.734 |
2.101 |
2.552 |
2.878 |
3.610 |
3.922 |

19 |
1.328 |
1.729 |
2.093 |
2.539 |
2.861 |
3.579 |
3.883 |

20 |
1.325 |
1.725 |
2.086 |
2.528 |
2.845 |
3.552 |
3.850 |

21 |
1.323 |
1.721 |
2.080 |
2.518 |
2.831 |
3.527 |
3.819 |

22 |
1.321 |
1.717 |
2.074 |
2.508 |
2.819 |
3.505 |
3.792 |

23 |
1.319 |
1.714 |
2.069 |
2.500 |
2.807 |
3.485 |
3.768 |

24 |
1.318 |
1.711 |
2.064 |
2.492 |
2.797 |
3.467 |
3.745 |

25 |
1.316 |
1.708 |
2.060 |
2.485 |
2.787 |
3.450 |
3.725 |

26 |
1.315 |
1.706 |
2.056 |
2.479 |
2.779 |
3.435 |
3.707 |

27 |
1.314 |
1.703 |
2.052 |
2.473 |
2.771 |
3.421 |
3.689 |

28 |
1.313 |
1.701 |
2.048 |
2.467 |
2.763 |
3.408 |
3.674 |

29 |
1.311 |
1.699 |
2.045 |
2.462 |
2.756 |
3.396 |
3.660 |

30 |
1.310 |
1.697 |
2.042 |
2.457 |
2.750 |
3.385 |
3.646 |

60 |
1.296 |
1.671 |
2.000 |
2.390 |
2.660 |
3.232 |
3.460 |

120 |
1.289 |
1.658 |
1.980 |
2.358 |
2.617 |
3.160 |
3.373 |

8 |
1.282 |
1.645 |
1.960 |
2.326 |
2.576 |
3.091 |
3.291 |

- Two-tailed p value
- Left-tailed p value
- Right-tailed p value

- Put in the value of t score calculated
- Put in the value of significance level
- Put in the value of the degree of freedom
- Click ‘calculate’.

- Two-tailed p value
- Left-tailed p value
- Right-tailed p value

**Support**

**Email us at**

© Copyrights 2024 by Calculator-Online.net