Step 1: Understanding the requirement.
When comparing the means of two or more groups, we need a statistical technique that can test if the differences are statistically significant. Step 2: Check each option.
(a) Chi-square — used for categorical data association, not comparing means.
(b) ANOVA — compares means across multiple groups, partitions variance into between-group and within-group components.
(c) Cross-tabulation — only summarizes categorical data.
(d) Independent samples t test — compares means of two groups only.
\[
\boxed{(b)}
\]