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(1 pts) The F statistic used in an ANOVA study is the ration of withintreatment

ID: 2955373 • Letter: #

Question

  1. (1 pts)
    The F statistic used in an ANOVA study is
      the ration of withintreatment variance to total variance
      the ratio of betweentreatment variance to total variance.
      the ratio of betweentreatment variance to within treatment variance.

  2. (1 pts)
    Mean square is obtained by
      multiplying sum of squaresby sample size.
      multiplying sum of squaresby degrees of freedom.
      dividing sum of squares bysample size.
      dividing sum of squares bydegrees of freedom.

  3. (1 pts)
    Sum of squares within + sum of squares between = total sum ofsquares in a one-way ANOVA.
      TRUE
      FALSE

  4. (1 pts)
    ANOVA degrees of freedom are additive.
      TRUE
      FALSE

  5. (1 pts)
    Which is not an assumption of the ANOVA procedure?
      Samples are selectedrandomly and independently from their respectivepopulations.
      All p populationprobability distributions are normal.
      The p population variancesare equal.
      Between treatment variationequals within treatment variation.

  6. (1 pts)
    Another term for within variation is error.
      TRUE
      FALSE

  7. (1 pts)
    Treatment variation is another term for between groupvariation.
      TRUE
      FALSE

Explanation / Answer

                Numberof obs =      52    R-squared     = 0.5729

                Root MSE      =29.9222     Adj R-squared= 0.5462

       Source | Partial SS   df      MS          F     Prob > F

   -----------+----------------------------------------------------

         Model| 57636.3654    3 19212.1218     21.46     0.0000

              |

      treatmnt| 57636.3654    3 19212.1218     21.46     0.0000

              |

      Residual| 42976.3077   48 895.339744  

   -----------+----------------------------------------------------