Example 1- The Omnibus F Test on SPSS Omnibus test
1 example 1- omnibus f test on spss
1.1 anova
1.2 model summary
1.3 coefficients
example 1- omnibus f test on spss
an insurance company intends predict average cost of claims (variable name claimamt ) 3 independent variables (predictors): number of claims (variable name nclaims ), policyholder age (variable name holderage), vehicle age (variable name vehicleage). linear regression procedure has been run on data, follows: omnibus f test in anova table implies model involved these 3 predictors can fit predicting average cost of claims , since null hypothesis rejected (p-value=0.000 < 0.01, α=0.01). rejection of omnibus test implies coefficients of predictors in model have found non-zero. multiple- r-square reported on model summary table 0.362, means 3 predictors can explain 36.2% average cost of claims variation.
anova
a. predictors: (constant), nclaims number of claims, holderage policyholder age, vehicleage vehicle age
b. dependent variable: claimamt average cost of claims
model summary
a. predictors: (constant), nclaims number of claims, holderage policyholder age, vehicleage vehicle age
however, predictors: vehicle age , number of claims has statistical influence , prediction on average cost of claims shown on following coefficients table , whereas policyholder age not significant predictor (p-value=0.116>0.05). means model without predictor may suitable.
coefficients
a. dependent variable: claimamt average cost of claims
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