what is the t crit?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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what is the t crit?
### Data Analysis Example in Excel

The dataset below includes two columns of word types for 10 participants: "swear words" and "neutral words." The purpose of this dataset is to compare the average counts and variability for both types of words across the participants.

#### Dataset

| Participant | Swear Words | Neutral Words |
|-------------|-------------|---------------|
| 1           | 94          | 59            |
| 2           | 70          | 61            |
| 3           | 52          | 47            |
| 4           | 83          | 60            |
| 5           | 46          | 35            |
| 6           | 117         | 92            |
| 7           | 69          | 53            |
| 8           | 39          | 30            |
| 9           | 51          | 56            |
| 10          | 73          | 61            |

#### Summary Statistics

Below is a summary of the key statistical measures calculated for both the "swear words" and "neutral words" data columns:

| Statistic       | Swear Words | Neutral Words |
|-----------------|-------------|---------------|
| Count (n)       | 10          | 10            |
| Mean            | 69.4        | 55.4          |
| DEVSQ (SS)      | 5182.4      | 2574.4        |
| STDEV.S (SD)    | 25.42       | 17.82         |
| Degrees of Freedom (df) | 9          | 9             |

#### Additional Calculations

Below this, there are some additional fields that appear to be calculated values related to a statistical test, possibly a t-test to compare the means of the two datasets.

1. **S(M1-M2)**: Represents the standard error of the difference between the two means.
2. **alpha**: This is the significance level of the test.
3. **t_crit**: The critical value for the t-test, which determines the cutoff for rejecting the null hypothesis (Ho).
4. **t_obs**: The observed t-value, calculated from the sample data.
5. **Decision**: Based on the test, the decision will either be "Reject Ho" (if the observed t-value is beyond the critical value) or "Fail to reject
Transcribed Image Text:### Data Analysis Example in Excel The dataset below includes two columns of word types for 10 participants: "swear words" and "neutral words." The purpose of this dataset is to compare the average counts and variability for both types of words across the participants. #### Dataset | Participant | Swear Words | Neutral Words | |-------------|-------------|---------------| | 1 | 94 | 59 | | 2 | 70 | 61 | | 3 | 52 | 47 | | 4 | 83 | 60 | | 5 | 46 | 35 | | 6 | 117 | 92 | | 7 | 69 | 53 | | 8 | 39 | 30 | | 9 | 51 | 56 | | 10 | 73 | 61 | #### Summary Statistics Below is a summary of the key statistical measures calculated for both the "swear words" and "neutral words" data columns: | Statistic | Swear Words | Neutral Words | |-----------------|-------------|---------------| | Count (n) | 10 | 10 | | Mean | 69.4 | 55.4 | | DEVSQ (SS) | 5182.4 | 2574.4 | | STDEV.S (SD) | 25.42 | 17.82 | | Degrees of Freedom (df) | 9 | 9 | #### Additional Calculations Below this, there are some additional fields that appear to be calculated values related to a statistical test, possibly a t-test to compare the means of the two datasets. 1. **S(M1-M2)**: Represents the standard error of the difference between the two means. 2. **alpha**: This is the significance level of the test. 3. **t_crit**: The critical value for the t-test, which determines the cutoff for rejecting the null hypothesis (Ho). 4. **t_obs**: The observed t-value, calculated from the sample data. 5. **Decision**: Based on the test, the decision will either be "Reject Ho" (if the observed t-value is beyond the critical value) or "Fail to reject
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