Wednesday Nov 18 Analysis of Variance Wednesday Nov
- Slides: 22
Wednesday, Nov. 18 Analysis of Variance
Wednesday, Nov. 18 The Analysis of Variance
Wednesday, Nov. 28 The Analysis of Variance ANOVA
Between-group variance estimate F= within-group variance estimate _ SST = (X - XG)2 _ _ SSB = Ni (Xi - XG)2 _ SSW = (X 1 - X 1_)2 + (X 2 - X 2)2_+ • • (Xk - Xk)2 SST = SSB + SSW
Between-group variance estimate F= within-group variance estimate MSB = SSB / df. B MSW = SSW / df. W where df. B = k-1 (k = number of groups) df. W = N - k
Fisher’s Protected t-test t= _ _ Xi - Xj MSW ( 1/Ni + 1/Nj) Where df = N - k
Est ω = df. B (F - 1) df. B F + df. W Est ω bears the same relationship to F that rpb bears to t.
The factorial design is used to study the relationship of two or more independent variables (called factors) to a dependent variable, where each factor has two or more levels. - p. 333
The factorial design is used to study the relationship of two or more independent variables (called factors) to a dependent variable, where each factor has two or more levels. In this design, you can evaluate the main effects of each factor independently (essentially equivalent to doing oneway ANOVA’s for each of the factors independently), but you are also able to evaluate how the two (or more factors) interact.
Partitioning variation in a 2 x 2 factorial design. TOTAL VARIATION Variation within groups (error) Variation between groups Variation from Factor 1 Variation from Factor 2 Variation from Factor 1 x 2 interaction
1. A B. C. D. E. F. Compute SST Compute SSB Subtract SSB from SST to obtain SSW (error) Compute SS 1 Compute SS 2 Compute SS 1 x 2 by subtracting SS 1 and SS 2 from SSB 2. Convert SS to MS by dividing SS by the appropriate d. f. 3. Test MS 1, MS 2 and MS 1 x 2 using F ratio.
More advanced ANOVA topics • • N-way ANOVA Repeated Measures designs Mixed models Contrasts
- Material usage variance = material mix variance +
- "set out nov dez levantamento bibliográfico"
- "set out nov dez levantamento bibliográfico"
- Palabras que empiecen con pav
- News item text generic structure
- Vandelay art. seinfeld the show about nothing. penguin 1997
- Nov 22
- Sintaksis söz birləşmələri
- Rrnadmin
- Dir şəkilçisi
- Nov 19 1863
- Static budget example
- The variance analysis cycle
- The variance analysis cycle
- Standard costing and variance analysis formula
- Multi variance analysis
- Variance analysis
- Multivariate analysis of variance and covariance
- Standard cost variance
- Job cost variance
- Spss mixed model
- Variance analysis in nursing
- Budget variance example