#statisticalmodel — Public Fediverse posts

An intriguing proposition by Frank Harrell on teaching / using the cumulative probability model (CPM) family as a a unifying approach. He argues that this would be much more coherent than teaching different types of statistical models like linear models and Cox PH that are special cases of CPM (see table 2).

https://www.fharrell.com/post/cpm/

#statistics #StatisticalModel

Satellite-Based Spatial-Statistical Modeling Of Daily Stream Water Temperatures At The CONUS Scale
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https://doi.org/10.1016/j.jhydrol.2025.133321 <-- shared paper
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#GIS #spatial #mapping #Streamtemperature #Rivertemperature #Watertemperature #Statisticalmodel #Satellite #remotesensing #ContiguousUnitedStates #CONUS #Lower48th #spatialstatistics #geostatistics #earthobservation #water #hydrology #stream #river #temperature #surfacewater #model #modeling ##seasons #weather #TempEst2 #climate #urban #natural #rural #ecoregions #ecosystems #streamgage #USGS #fedscience

Is there a classical regression model where, for 𝑖=1,…,𝑛,

𝐸(𝑌ᵢ) = 𝑁 𝑝ᵢ

with 𝑁 a known constant, and

𝑝ᵢ=(exp 𝑋ᵢ β) / (∑ⱼ exp 𝑋ⱼ β)

Thus 𝑝ᵢ ∈ (0,1) and ∑ 𝑝ᵢ = 1.

Note that this is *not* a multinomial logistic regression. There is a single vector β to estimate. It should be estimated from a single set of observations 𝑌₁,…,𝑌ₙ (and the covariates 𝑋₁,…, 𝑋ₙ).

#statistics #statisticalmodel #glm #rstats