I am finding whether men or women are smarter. I am doing a chi-squared test to see if theres a correlation. What other sophisticated processes can i do?

I suspect that differing criteria will produce different answers. Perhaps the most sophisticated process in the whole mix will be deciding (and justifying) what you mean by "smarter."

I meant actually who has better memory

When investigating the differences in intelligence between men and women, conducting a chi-squared test is a useful statistical method. However, it is important to note that intelligence is a complex trait influenced by various factors, and it is challenging to measure accurately. Therefore, relying solely on statistical tests may not provide a comprehensive understanding of the topic.

To gain a more sophisticated understanding, you can consider the following approaches:

1. Meta-analysis: Conduct a comprehensive review of existing studies on the topic. Analyze and integrate the findings from different sources to obtain a more comprehensive view of intelligence differences between men and women.

2. Experimental studies: Design and conduct well-controlled experiments to assess intelligence. You can consider using cognitive assessments, standardized tests, or other validated measures to evaluate various aspects of intelligence in both men and women. By comparing the results, you may be able to identify potential differences.

3. Longitudinal studies: Undertake long-term studies where individuals are followed over an extended period. Collecting data on intelligence from childhood to adulthood would allow for a more in-depth understanding of any potential gender differences that may emerge across different life stages.

4. Neurological research: Explore neuroscience studies to examine the structural and functional differences in the brains of men and women. Investigate whether these differences relate to variations in cognitive abilities.

5. Environmental factors: Consider exploring the influence of societal, cultural, and environmental factors on intelligence differences between men and women. Investigate factors such as education, upbringing, social expectations, and workplace dynamics, which may contribute to variations in measured intelligence.

6. Multivariate analysis: Extend beyond a single statistical test and employ multivariate analysis techniques like regression analysis, factor analysis, or structural equation modeling. These methods can help identify the relationship between intelligence and various factors while considering potential confounding variables.

Remember, intelligence is a multidimensional construct, and it is crucial to approach the topic with caution, considering all relevant aspects to gain a more nuanced understanding.