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Summation Algebra Proofs

Summation Algebra Proofs. James H. Steiger. Sum of Deviation Scores. Prove that, in any list of numbers, the sum of the deviation scores is zero, that is,. Linear Transformation Rule for Means.

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Summation Algebra Proofs

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  1. Summation Algebra Proofs James H. Steiger

  2. Sum of Deviation Scores • Prove that, in any list of numbers, the sum of the deviation scores is zero, that is,

  3. Linear Transformation Rule for Means • If, a group of X’s with mean is transformed into a group of Y’s via the rule then the new mean must follow the rule

  4. Linear Transformation Rule for Deviation Scores • If, a group of X’s with mean is transformed into a group of Y’s via the rule then the deviation scores must follow the rule

  5. Definition – Sample Variance • The sample variance of a set of numbers is

  6. Linear Transformation Rule for Variances • If, a group of X’s with variance is transformed into a group of Y’s via the rule then the new variance must follow the rule

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