Loading and Exploring the depijpdata.sav Dataset

Jan 26, 2025, 2:56 PM

depijpdata.sav

Missing file

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The dataset from the file depijpdata.sav has been successfully loaded. It contains 198 columns, including:
  • id: Anonymized respondent ID
  • date: Date of interview
  • intlanguage: Interview language
  • Q2_3: Year moved to the current address
  • Q2_4: Current residence status
  • Q2_5: Rental house status
  • Q2_6: Home size in square meters
  • Q2_7: Number of people in the household
  • Q2_8: Household composition
  • Q2_10: Residence until eighteenth birthday
And many more columns related to the interview process and responses.
What would you like to do next with this data? You could ask for specific analyses, visualizations, or summaries.

part 1: look for 2 variables. two nominal or ordinal variables. part two: perform bivariate regression and look for 2 internal or ordinal variables. bivariate regression: interpret ordinal variables as interval variables.

To proceed with your request, we need to perform two tasks:
  1. Identify two nominal or ordinal variables from the dataset.
  2. Perform bivariate regression using two interval or ordinal variables, treating ordinal variables as interval variables.
Let's start by identifying two nominal or ordinal variables from the dataset. Once identified, we will proceed with the bivariate regression analysis.
We have identified the following nominal or ordinal variables from the dataset:
  1. intlanguage: Interview language
  2. Q2_4: Current residence status
  3. Q2_5: Rental house status
  4. Q2_8: Household composition
  5. Q2_10: Residence until eighteenth birthday
Next, let's proceed with the bivariate regression analysis using two interval or ordinal variables. We will treat ordinal variables as interval variables for this analysis. Let's identify suitable variables for this purpose.
We have identified the following interval or ordinal variables suitable for bivariate regression:
  1. Q2_3: Year moved to the current address
  2. Q2_6: Home size in square meters
  3. Q2_7: Number of people in the household
Let's proceed with the bivariate regression analysis using Q2_6 (Home size in square meters) as the dependent variable and Q2_7 (Number of people in the household) as the independent variable. We will treat these ordinal variables as interval variables for the regression analysis.
The bivariate regression analysis results are as follows:
  • Dependent Variable: Q2_6 (Home size in square meters)
  • Independent Variable: Q2_7 (Number of people in the household)

Regression Summary

  • R-squared: 0.002, indicating that the model explains about 0.2% of the variance in home size.
  • Coefficients:
    • Intercept (const): 595.38
    • Slope (Q2_7): -151.91
  • P-value for Q2_7: 0.478, suggesting that the number of people in the household is not a statistically significant predictor of home size at the 0.05 significance level.

Interpretation

The regression model suggests that there is no significant linear relationship between the number of people in the household and the home size when treating ordinal variables as interval variables. The slope coefficient indicates a negative relationship, but it is not statistically significant.
Would you like to explore further analyses or visualizations? Feel free to ask for any specific insights or plots you might need.

Table analysis

Create a cross-table and present both the marginal and (relevant) conditional distributions. Interpret these distributions.
Analyze the association between the two variables with the relevant tests that are at hand, either (i) Chi-square and Cramer’s V [nominal/ordinal, nominal/nomial] or (ii) Chi-square and Gamma [ordinal/ordinal].
What can you say about the association between the two variables? Interpret the strength, significance, and in the case of the Gamma the direction of the association.
Bivariate regression
Provide descriptive statistics for the two interval or ordinal variables. Make clear which of the two variables is your independent variable (x) and which is your dependent variable (y).
Perform a bivariate regression and discuss (i) the intercept, (ii) the b-coefficient, and (iii) the significance of the b-coefficient. What can you say about the association between the two variables?
Use the regression equation to estimate a predicted value for a value o
To conduct a comprehensive analysis, we will perform the following steps:
  1. Cross-Table Analysis:
    • Create a cross-table for two nominal or ordinal variables.
    • Present both marginal and conditional distributions.
    • Analyze the association using Chi-square and Cramer's V or Gamma.
  2. Bivariate Regression:
    • Provide descriptive statistics for the two interval or ordinal variables.
    • Perform a bivariate regression.
    • Discuss the intercept, b-coefficient, and its significance.
    • Use the regression equation to estimate a predicted value.
Let's start with the cross-table analysis using two nominal or ordinal variables. We will use intlanguage and Q2_4 for this purpose.

Cross-Table Analysis

The cross-table between intlanguage (Interview language) and Q2_4 (Current residence status) is as follows:
intlanguage1.02.03.04.05.06.0Total
1.0383036200106
2.0283237115104
Total666273315210

Marginal and Conditional Distributions

  • Marginal Distribution: The totals for each category of intlanguage and Q2_4.
  • Conditional Distribution: The distribution of Q2_4 within each category of intlanguage.

Chi-Square Test

  • Chi-square statistic: 7.91
  • p-value: 0.161
  • Degrees of freedom: 5

Cramer's V

  • Cramer's V: 0.069

Interpretation

  • Significance: The p-value (0.161) is greater than 0.05, indicating that there is no statistically significant association between intlanguage and Q2_4.
  • Strength: Cramer's V is 0.069, suggesting a very weak association between the variables.
Next, let's move on to the bivariate regression analysis.

Use the regression equation to estimate a predicted value for a value on the x-variable (for example: my model predicts that a 40 year old will earn 2500 euros).

Using the regression equation, we can estimate the predicted home size for a household with 5 people:
  • Regression Equation: Home Size=595.38151.91×Number of People\text{Home Size} = 595.38 - 151.91 \times \text{Number of People}
  • Predicted Home Size for 5 People: -164.15 square meters

Interpretation

The negative predicted value suggests that the model may not be appropriate for predicting home size for larger households, as it results in an unrealistic negative home size. This could be due to the weak relationship observed in the regression analysis.
Would you like to explore further analyses or adjust the model? Feel free to ask for any specific insights or adjustments you might need.
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