Happiness Scale Interval Study. Methodological Considerations.

Area of Science:

• Psychology
• Statistics
• Sociology

Background:

• Happiness is often measured using verbal response options, leading to challenges in cross-cultural and cross-question comparisons.
• Existing methods struggle to accurately represent the continuous nature of happiness from discrete verbal scales.

Purpose of the Study:

• To develop a statistical model for converting discrete verbal happiness ratings into a continuous numerical scale ([0,10]).
• To enable the computation of transformed means and standard deviations for broader happiness data analysis.
• To identify the specific happiness values corresponding to different verbal response options.

Main Methods:

• A latent variable model is proposed, treating happiness as a continuous random variable measured discretely.
• Two probability density functions are discussed: uniform distribution within category intervals and a beta distribution.
• The model partitions the [0,10] scale based on the number of verbal response options.

Main Results:

• Both uniform and beta distribution models were applied to Dutch survey data (1990-2008).
• The uniform distribution model is recommended for its ability to construct confidence intervals for population happiness distributions.
• The beta distribution model offered better validity but lacked the confidence interval construction capability.

Conclusions:

• The proposed statistical approach effectively converts subjective happiness ratings into a standardized numerical scale.
• The uniform distribution model is preferred for its practical utility in estimating population happiness distributions.
• This methodology can be applied to other subjective phenomena measured using similar scales.