# ApproxF: Calculate ANOVA with approximate F value In EMSaov: The Analysis of Variance with EMS

## Description

Calculate ANOVA with approximate F value

## Usage

 `1` ```ApproxF(SS.table,approx.name) ```

## Arguments

 `SS.table` result from EMSanova `approx.name` rowname in SS.table to calculate approximate F value for the test.

## Examples

 ```1 2 3 4 5 6 7 8 9``` ```data(film) anova.result<-EMSanova(thickness~Gate*Operator*Day,data=film, type=c("F","R","R")) anova.result ApproxF(SS.table=anova.result,approx.name="Gate") EMSanova(thickness~Gate+Operator+Day,data=film, type=c("F","R","R"), approximate=TRUE) ```

### Example output

```                  Df          SS          MS  Fvalue Pvalue Sig
Gate               2 1.573172222 0.786586111
Operator           2 0.112072222 0.056036111 18.7656 0.0506   .
Gate:Operator      4 0.042844444 0.010711111  4.3229 0.0926   .
Day                1 0.001002778 0.001002778  0.3358 0.6208
Gate:Day           2 0.011338889 0.005669444  2.2881 0.2175
Operator:Day       2 0.005972222 0.002986111   9.188 0.0018  **
Gate:Operator:Day  4 0.009911111 0.002477778  7.6239  9e-04 ***
Residuals         18 0.005850000 0.000325000
EMS
Gate              Error+2Gate:Operator:Day+6Gate:Day+4Gate:Operator+12Gate
Operator                                    Error+6Operator:Day+12Operator
Gate:Operator                      Error+2Gate:Operator:Day+4Gate:Operator
Day                                              Error+6Operator:Day+18Day
Gate:Day                                Error+2Gate:Operator:Day+6Gate:Day
Operator:Day                                           Error+6Operator:Day
Gate:Operator:Day                                 Error+2Gate:Operator:Day
Residuals                                                            Error
\$Appr.F
[1] 48.17076

\$df1
[1] 2.01261

\$df2
[1] 5.995597

\$Appr.Pvalue
[1] 0.0002010433

Df          SS          MS  Fvalue Pvalue Sig
Gate               2 1.573172222 0.786586111 48.1708  2e-04 ***
Operator           2 0.112072222 0.056036111 18.7656 0.0506   .
Gate:Operator      4 0.042844444 0.010711111  4.3229 0.0926   .
Day                1 0.001002778 0.001002778  0.3358 0.6208
Gate:Day           2 0.011338889 0.005669444  2.2881 0.2175
Operator:Day       2 0.005972222 0.002986111   9.188 0.0018  **
Gate:Operator:Day  4 0.009911111 0.002477778  7.6239  9e-04 ***
Residuals         18 0.005850000 0.000325000
EMS
Gate              Error+2Gate:Operator:Day+6Gate:Day+4Gate:Operator+12Gate
Operator                                    Error+6Operator:Day+12Operator
Gate:Operator                      Error+2Gate:Operator:Day+4Gate:Operator
Day                                              Error+6Operator:Day+18Day
Gate:Day                                Error+2Gate:Operator:Day+6Gate:Day
Operator:Day                                           Error+6Operator:Day
Gate:Operator:Day                                 Error+2Gate:Operator:Day
Residuals                                                            Error
```

EMSaov documentation built on May 2, 2019, 8:31 a.m.