chi square definitions
what is a chi square test
hypothesis test that uses categorical variables only with a independent and dependent variable
if critical value is bigger than obtained then what do we do with the null
what is step 1
state the null hypothesis and the alternative hypothesis
what appendix do you go to to find the critical value
appendix D
if the degrees of freedom is 2
and the alpha is .05
what is your answer
5.991
what are the variable types
categorical
if fo is 60 and fe is 37.84 what is the answer in your fo-fe column
22.16
what is step 2
identifying the distribution and compute the degrees of freedom
degrees of freedom formula
df = (r-1)(c-1)
if the degrees of freedom is 4
and the alpha is .01
what is your answer
13.277
what is chi square distribution
X²
what is the decision rule for chi square
if the fobt is greater than the fcrit, H₀ will be rejected
what is step 3
identify the critical value and state the decision rule
what is the expected frequency calculation
fei = rmi * cmi / N
if the degrees of freedom is 6
and the alpha is .01
what is your answer
16.812
what is chi square's null hypothesis
H₀ : X² = 0
H₁ : X² > 0
what is the value of N
the total number of the whole sample
what is step 4
computing obtained value
what is the obtained formula
X²obt = Σ (foi - fei)² / fei
if the degrees of freedom is 20
and the alpha is .01
what is your answer
37.566
which of the hypotheses is independent and which is dependent
H₀ : X² = 0 - independent
H₁ : X² > 0 - dependent
R=?
C=?
Rows and Columns
what is step 5
make decision about null and state conclusion
what are the steps to the chi square table
fo,
fe,
fo-fe,
(fo-fe)²,
(fo-fe)²/fe
if the degrees of freedom is 13
and the alpha is .05
what is your answer
22.362