"A generalized linear model or #GLM consists of three components:
1. A random component, specifying the conditional distribution of the response variable, Yᵢ (for the ith of n independently sampled observations). […]
2. A linear predictor—that is a linear function of regressors,
ηᵢ = α + Σⱼ Xᵢⱼ*βⱼ
3. A smooth and invertible link function g(·), which transforms the expectation of the response variable, μᵢ ≡ E(Yᵢ), to the linear predictor:
g(μᵢ) = ηᵢ"

https://www.sagepub.com/sites/default/files/upm-binaries/21121_Chapter_15.pdf

#models #dataDev #logNormal #regression #normality #normalDistribution #gamma #modelling #modeling #AIDev #ML #evaluation

If the opinion of the population is a bell curve, the "political center" should be defined as the top of that curve.

#NormalDistribution

Don't come at a VP of a global data & analytics firm with a snarky math comment!

#SouthCarolina #SCPol #SCPolitics #normaldistribution #bellcurve #schooled #math #statistics

https://youtube.com/shorts/4HdZ7YERozY

Before you continue to YouTube

Jihua Hou et al. analyzed the #UniversalRules and #RegionalVariations of #VegetationGrowth of #TypicalGrasslands under #EnvironmentalChange by measuring #PlantHeights one by one in #TibetanPlateau (TP), #MongolianPlateau (MP) and #LoessPlateau (LP). The study showed that #NormalDistribution is a universal rule of grassland height construction, and that the synergy of environmental factors varies from region to region.
https://doi.org/10.1093/jpe/rtac048

@data @datadon 🧵

How to assess a statistical model?
How to choose between variables?

Pearson's #correlation is irrelevant if you suspect that the relationship is not a straight line.

If monotonic relationship:
"#Spearman’s rho is particularly useful for small samples where weak correlations are expected, as it can detect subtle monotonic trends." It is "widespread across disciplines where the measurement precision is not guaranteed".
"#Kendall’s Tau-b is less affected [than Spearman’s rho] by outliers in the data, making it a robust option for datasets with extreme values."
Ref: https://statisticseasily.com/kendall-tau-b-vs-spearman/

#normality #normalDistribution #modeling #dataDev #AIDev #ML #modelEvaluation #regression #modelling #dataLearning #featureEngineering #linearRegression #modeling #probability #probabilities #statistics #stats #correctionRatio #ML #Pearson #bias #regressionRedress #distributions

Kendall Tau-b vs Spearman: Which Correlation Coefficient Wins?

Discover why Kendall Tau-b vs Spearman Correlation is crucial for your data analysis and which coefficient offers the most reliable results.

LEARN STATISTICS EASILY

"The #gamma GLM is a relatively assumption-light means of #modeling non-negative data, given gamma's flexibility.
[…]
"Explaining what is used and what is not used, despite merits and demerits […]: Loosely, the larger the internal literature in any field on modelling techniques, the less inclined people in that field seem to be to try something different."

Nick Cox, 2013: https://stats.stackexchange.com/questions/67547/when-to-use-gamma-glms

#normality #normalDistribution #modelling #dataDev #AIDev #ML #AIEvaluation #logNormal

When to use gamma GLMs?

The gamma distribution can take on a pretty wide range of shapes, and given the link between the mean and the variance through its two parameters, it seems suited to dealing with heteroskedasticity...

Cross Validated

📈 The Gaussian Distribution, a continuous probability distribution for real-valued random variables, better known as the Normal Distribution.

💡This understanding aids in the design of efficient data pipelines, transformations, and validation processes, resulting in reliable data for downstream applications.

#GaussianDistribution #NormalDistribution #Statistics #BellCurve #DataScience #MastodonScience

Thinking of starting a cult around #normalDistribution
In-class coin tosses: 16 participants, 18 tosses, and what felt like a relatively unusual distribution (after all, nobody with 10 heads). Goal of ever getting something really weird in class still not achieved :)
#teaching #coinTosses #statistics #normalDistribution