The Chi-Square (χ²) calculators has three functions

• (χ2) Chi-Square Test
• (DF) Degrees of Freedom
• (E) Expected Value

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

Statistics Calculators

• Stats Calc - Complete set of entry level college statistics functions
• Simple Stats - Complete set of Observational statistics for a set of data
• Linear Regression - Least-squares trend line for a set of data
• Chi-square Calculator
• One Way ANOVA - One way Analysis of Variance for three sets of data

The Math / Science

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

`χ2 =  sum( (O-E)^2/E) =sum(O^2/E) - sum(O)`

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

Critical Values