The document discusses tests performed to analyze random walk theory (RWT). RWT states that future stock prices cannot be predicted from past prices. Simulation tests, conducted by Harry Roberts, generated random stock price graphs to examine RWT. Serial correlation tests, performed by Moore in 1964, analyzed correlations between weekly stock price changes. Filter tests established buy and sell points at certain percentage thresholds above or below original prices. Run tests counted consecutive price increases or decreases to assess randomness.