What are some advanced data analysis methods that are currently being used? What methods were their predecessors?

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Muhammad Yousaf

You asked a very general question.

The answer to this question depends on variables, research questions, and data type.

Could you elaborate on what you want to do.

David Eugene Booth

In other words read a history of statistics book. David Booth

Sven Panis

An advanced data analysis method for time-to-event data (e.g., response times, saccade latencies, fixation durations, etc.) that replaces ANOVA on mean RTs, is a longitudinal or distributional method known as event history analysis, survival analysis, hazard analysis, transition analysis, and duration analysis:

Article Analyzing Response Times and Other Types of Time-to-Event Da...