From what I have read a Two sample (Paired) T-test would be the appropriate statistical analysis to conduct on EACH set of samples.

I also attempted and ANOVA with Tukey's post hoc of all (4) samples as all data was generated in the same session (test may not be as appropriate to run as the T-Test but was curious).

The T-Test resulted in a significant difference in mean scores (despite there being a small difference between the numerical values (for the scale I was using). The ANOVA did not identify the mean scores of these samples as statistically significant.

What is the reason these two statistical analysis approaches make different statistical conclusions? What about each analysis does this?

I know the T-Test looks at distance between the individual values from each respondent while the ANOVA looks at various points of variance in your data set to make a conclusion on if means are different.

Any help would be greatly appreciated to help be further understand the difference between these statistical approaches.

Thank you!!!