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Measurements from a single-cylinder automobile test engine burning ethanol, exhibiting two homogeneous regimes when the equivalence ratio is regressed on nitrous-oxide concentration – the engine example of Wu & Yao (2016, Fig. 5). Derived from the public-domain ethanol data redistributed in the lattice package (Brinkman 1981).

Usage

engine

Format

A data frame with 88 rows and 3 columns:

equivalence

equivalence ratio: richness of the air/ethanol mix (response).

nox

concentration of nitrous oxide (NO and NO2) in the exhaust, normalized by engine work (predictor).

compression

compression ratio of the engine.

Source

Brinkman, N. D. (1981). Ethanol fuel – a single-cylinder engine study of efficiency and exhaust emissions. SAE Transactions 90, 1410–1427. Redistributed via the lattice package ethanol dataset.

References

Wu, Q. and Yao, W. (2016). Mixtures of quantile regressions. CSDA 93, 162–176.

Examples

fit <- mixqr(equivalence ~ nox, data = engine, tau = 0.5, m = 2)
summary(fit)
#> Mixture of quantile regressions (mixqr) -- summary
#>   engine: ald   tau = 0.5   m = 2   n = 88
#> 
#> Component 1  (pi = 0.5081):
#>             Estimate
#> (Intercept)    1.243
#> nox           -0.083
#> 
#> Component 2  (pi = 0.4919):
#>             Estimate
#> (Intercept)    0.557
#> nox            0.091
#> Responsibility overlap (0 = separated, 1 = overlapping): 0.129
#> 
#> logLik = 113.995 (ALD working likelihood)   AIC = -213.99   BIC = -196.65