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`F = "One Way ANOVA"(X,Y,Z)`

Enter a value for all fields

The **One-Way Analysis of Variance (ANOVA)** calculator computes the ANOVA F score and degrees of freedom for a number of groups.

**INSTRUCTIONS**: Enter the following in comma separated lists:

- (
**OB**) Observation Table of Groups - (
**OC**) Output Choice (F-Score or Details)

**ANOVA F-Score: **The calculator returns the F-score and degrees of freedom for the null hypothesis. **Note**: there has to be an equal number of observations in the three groups. The calculator also returns the following support statistics:

- F Score
- Numerator: degrees of freedom Between:
- Denominator: degrees of freedom Within:
- Details
- Mean of Groups
- Grand Mean of All Groups Combined
- Sum of Squares (total)
- Sum of Squares (Within)
- Sum of Squares (Between)
- Variance Between
- Variance Within

A school administrator want to know if the time / day of taking tests significantly affect test scores. Let's consider four groups of students taking pop quizzes. Group 1 only gets tested on Mondays first period. Group 2 only gets tested Wednesday after lunch. Group 3 only gets tested in the last period on Fridays, and Group 4 on random days and times. The quiz has 12 questions with a range of potential scores from 0 to 12.

Group 1 | Group2 | Group3 | Group 4 |
---|---|---|---|

11 | 7 | 6 | 5 |

9 | 9 | 5 | 3 |

10 | 8 | 7 | 4 |

The above data would be entered into this calculator as follows:

11,7,6,5

9,9,5,3

10,8,7,4

How many degrees of freedom(DF) do you see?

What is the F-Score?

Based on that, compare it to the chosen alpha level (see below) and determine if you accept or reject the hypothesis.

In ANALYSIS of VARIANCE (ANOVA), the formula for the sample variance is:

`s^2 = (sum y^2 - (sumy)^2/n)/(n-1)`

DF Among = a - 1

DF Within = a(n-1)

Total DF = an-1

**Observational Stats**: This function accepts a table of numbers separated by commas and calculates observational statistics for any of the columns. This includes count, min, max, sum, sum of squares (Σx²), square of the sum (Σx)², mean, median, mode, range, mid point, rand, sort up, sort down, rand, population variance, population standard deviation, the sample/experimental variance, sample/experimental standard deviation.**Frequency Distribution**: This function lets you enter a string of numbers separated by commas, a low and high range and a number of bins. It then computes how many of the observations are in each of the bins between the high and low values designated.**Paired Sample t-test**: This computes the various parameters associated with the Paired Sample t-test.**ANOVA (one way)**: The is one way analysis of variance**(χ**This computes the Chi-Square value for an nxm array of data and provides the degrees of freedom.^{2}) Chi-Square Test:**Linear Regression**: This computes the regression line (least-squares) through a set of X and Y observations. It also computes the regression coefficient (r).**y = a + bx**: This is linear equation used with Linear Regression to predict values of Y.**Wilcoxon Signed Rank Test**: This provides the Wilcoxon statistics and critical value for two groups of numeric observations based on an alpha value and whether it's a one or two tailed test.- Slope-Intercept form of a Line based on two points.
- Slope between two points
- Range value based on the slope-intercept formula of a line and a value of the domain.
- Compute the Probability between z SCORES
- College Level Statistics Calculator (Stat Calc).
- Count of Observations in a Set - this is the number (n) of values in a set.
- Minimum Value in a Set - this is the minimum observed value
- Maximum Value in a Set- this is the maximum value in the set.
- Numeric Sort (up and down) - this returns a comma separated list of the observations in ascending or descending order.
- Create a random subset of the a list of numeric values
- Random number from a range you specify
- Frequency distribution of data.
- Σx - this is the sum of the values in a set.
- Σx² - this is the sum of the squared values
- (Σx)² - this is the square of the summed values.
- Mean
- Median - the middle ordered value
- Mode - the most recurring observation
- Mid Point in a Set - this is the mid point of the observation range.
- Range in a Set - this is the difference between the max and the min.
- Population Variance of the values
- Population standard deviation of the values
- Sample Variance of the values
- Sample Standard Deviation of the values
- Compute the z SCORE based on the mean and standard deviation
- Compute the z SCORE in a set of observations
- Compute the percentile of a single observation (y) in a set (X)
- SDOM - standard deviation of mean
- Percent Relative Standard Deviation

- One Way ANOVA video: https://youtu.be/q48uKU_KWas