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...Chi square test of independence karl pearson introduced x which is a statistical used to determine whether your experimentally observed results are consistent with hypothesis statistics measure the agreement between actual counts and expected assuming null it non parametric can be for any variable group independent dependent nominal dichotomous ordinal or grouped interval introduction characteristics distribution application calculation condition example limitations important terms in population constants like mean std deviation error correlation coefficient proportion etc data tend follow one assumed established such as normal binomial poisson no constant do not specific assumption made these tests eg classify goods better best we just allocate arbitrary numbers marks each category definite statement about parameters key h states that association exists two cross tabulated variables therefore statistically e g if wanna compare methods b its superiority both equally good then this call...