The data, taken from Landis et al. (2013) , is a dataset where the participants (n = 553) are classified according to two factors, first, how modalities of care in a family medicine residency program were given. The possible cases were Collocated Behavioral Health service (CBH), a Primary-Care Behavioral Health service (PBH) and a Blended Model (BM). Second, how a patient’s care was financed: Medicare (MC), Medicaid (MA), a mix of Medicare/Medicaid (MC/MA), Personal insurance (PI), or Self-paid ($P). This design therefore has 5 x 3 = 15 cells. It was thoroughly examined in (Sharpe 2015) and analyzed in (Laurencelle and Cousineau 2023) .

LandisBarrettGalvin2013

Format

An object of class data.frame.

References

Landis SE, Barrett M, Galvin SL (2013). “Effects of different models of integrated collaborative care in a family medicine residency program.” Families, Systems and Health, 31, 264–273. doi:10.1037/a0033410 .

Laurencelle L, Cousineau D (2023). “Analysis of frequency tables: The ANOFA framework.” The Quantitative Methods for Psychology, 19, 173--193. doi:10.20982/tqmp.19.2.p173 .

Sharpe D (2015). “Chi-square test is statistically significant: Now what?” Practical Assessment, Research, and Evaluation, 20(1), 8.

Examples


# running the anofa
L <- anofa( obsfreq ~ provider * program, LandisBarrettGalvin2013)

# getting a plot
anofaPlot(L)
#> superb::FYI: Running initializer init.count


# the G table shows a significant interaction
summary(L)
#>                       G df Gcorrected  pvalue  etasq
#> Total            533.19 14         NA      NA     NA
#> provider         206.57  4     206.20 0.00000 0.2720
#> program          307.77  2     307.40 0.00000 0.3576
#> provider:program  18.85  8      18.69 0.01662 0.4909

# getting the simple effect
e <- emFrequencies(L, ~ program | provider ) 

## Getting some contrast by provider (i.e., on e)
f <- contrastFrequencies(e, list(
         "(PBH & CBH) vs. BM"=c(1,1,-2)/2, 
         "PBH vs. CBH"=c(1,-1,0))
     )