` = "Chi-Square Test"`

Enter a value for all fields

The chi-square calculator computes the χ² parameters for an table of data.

INSTRUCTIONS: Enter the following:

• (OB) Observed Values

chi-square (χ2): The calculator returns:

• (DF) Degrees of Freedom
• (χ2) chi-square value
• (Σc) Column Sums
• (Σr) Row Sums
• (ΣOB) Total Sum

How to Enter Data

Click on the text field for parameter OB.  You can either upload a CSV file or manually enter rows of data where each observation is separated by a comma as follows:

17,47
22,38
41,58

Chi-square Calculators:

• Chi-Square Test 
• Chi-square Degrees of Freedom
• Chi-square Expected Result
• Stats Calculator

The Math / Science

`"Expected Result" = ("Column Total" * "Row Total")/"Sample Size"`

`χ2 = sum(O^2/E) - sum(O)`

`"Degrees of Freedom" = (R-1)*(C-1)` if R≠1, then DF = C-1

Critical Values

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Statistics Calculators

• 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
• (χ²) Chi-Square Test: This computes the Chi-Square value for an nxm array of data and provides the degrees of freedom.
• 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 - the is the mean (average) of the observed values
• 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