Recipe/Example/Cake

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Revision as of 13:26, 31 January 2025 by Aleene (talk | contribs) (→‎Data)
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Product

A plain cake (pound cake) with four ingredients, like this one. Or the category Pound cakes.

Data

Four scenarios:

Four nuts product
Nutrient Product Ciqual Cake Median Cake
Fat 24 25.6 23
Sat. Fat 15 15.8 7.4
Carbohydrates 48 46 49
Sugars 29 26.8 28
Fiber 2 1.1 1.2
Proteins 6 5.94 5.8
Salt 1.4 0.52 0.8

For easy reuse:

Product (24,15,48,29,2,6,1.4)
Ciqual (25.6,15.8,46,26.8,1.1,5.94,0.52)
Median (23,7.4,49,28,1.2,5.8,0.8)

The nutritional values for the Ciqual ingredients.

Ciqual ingredients
Nutrient Flour Sugar Egg Butter
Fat - - 9.83 82.9
Sat. Fat - - 2.64 55.4
Carbohydrates - - 0.27 0.9
Sugars - - 0.27 0.83
Fiber - - 0 0
Proteins - - 12.7 0.7
Salt - - 0.31 0.063
Eggs: (9.83,2.64,0.27,0.27,0,12.7,0.31)
Butter: (82.9,55.4,0.90.83,0,0.7,0.063)

Least squares fit

R studio

The table below present four fit results using this. This compares the Ciqual ingredients against the OFF median ingredients. Four different least square methods have been used. the nnls and the glmnet force a solution with positive values.

Fitting results
model Flour Sugar Eggs Butter
lm - - - -
lm forced intercept - - - -
nnls - - - -
glmnet - - - -