Practical Statistics for Pharmaceutical Analysis by James E. De Muth

Author:James E. De Muth
Language: eng
Format: epub
ISBN: 9783030339890
Publisher: Springer International Publishing

Fig. 5.19Analysis of Variance (ANOVA) Table

Notice in the ANOVA table in Fig. 5.19 that there is a column labeled sum of squares; this refers to a measurement called the sum of squares. As mentioned earlier, there are two types of formulas. Definitional formulas display logic on how an equation works as seen in Fig. 5.18 where variability within the samples area defined (MSW) and variability between centers is calculated (MSB). But these definitional formulas would be difficult to write for computer code, so alternative computational formulas are available which are easier to use in computer code but give the exact same answer. The parallel computational formulas are seen in Fig. 5.20. This is where the measurements for the sum of squares are calculated (sum of squares between, sum of squares within, and sum of squares total). The resultant SSB, SSW, and SST entered into the ANOVA table. Divided by their respective degrees of freedom, they produce the mean squared values defined in Fig. 5.18.

Fig. 5.20Computational formulas for a one-way analysis of variance

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