Further reflections on changes in fertility expectations and preferences

Area of Science:

• Statistics
• Scientific Methodology

Background:

• A previous study's conclusions were disputed by Sloane and Lee.
• Disagreements centered on statistical analysis and interpretation.

Purpose of the Study:

• To address and refute specific criticisms regarding statistical analysis and interpretation.
• To clarify the correct application of statistical methods in analyzing observed sample relationships.

Main Methods:

• Re-evaluation of the disputed statistical analyses.
• Identification of misapplication and misinterpretation of log-linear procedures by Sloane and Lee.
• Comparison of statistical test efficiency for the data used.

Main Results:

• Sloane and Lee's analysis did not refute the original conclusions.
• Inappropriate application of log-linear models occurred in two instances.
• An inefficient statistical test was used, leading to a different interpretation of results.

Conclusions:

• The criticisms by Sloane and Lee are unfounded due to analytical errors.
• Correct application and interpretation of statistical methods are crucial for valid scientific conclusions.
• This work underscores the necessity of precise problem specification and careful data interpretation.