Question
A travel company wants to identify the salient features of families that have visited a vacation resort during last two years. Data were obtained from
A travel company wants to identify the salient features of families that have visited a vacation resort during last two years. Data were obtained from a sample of 30 households and discriminant analysis was performed considering two groups of families, those who visited the resort in last two years as group 1; and those who did not as group 2. Independent variables were annual family income, attitude towards travel, importance attached to family vacation, household size, and age of the household head. The outputs of the analysis are provided below. Questions: A) Interpret the values of Eigenvalue and Wilks Lambda. B) Write the discriminant function? C) Which independent variable has highest impact on discriminant score?
Eigenvalues | ||||
Function | Eigenvalue | % of Variance | Cumulative % | Canonical Correlation |
1 | 1.786a | 100.0 | 100.0 | .801 |
a. First 1 canonical discriminant functions were used in the analysis. |
Wilks' Lambda | ||||||
| ||||||
Test of Function(s) | Wilks' Lambda | Chi-square | df | Sig. | ||
1 | .359 | 26.130 | 5 | .000 | ||
Standardized Canonical Discriminant Function Coefficients |
| |||||
| Function |
| ||||
1 |
| |||||
family_income | .743 |
| ||||
travel | .096 |
| ||||
vacation | .233 |
| ||||
household_size | .469 |
| ||||
age | .209 |
|
Canonical Discriminant Function Coefficients | |
| Function |
| 1 |
family_income | .246 |
travel | .803 |
vacation | .085 |
household_size | 6.790 |
age | 2.612 |
(Constant) | -10.003 |
Unstandardized coefficients |
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