Crepes Lab338 recipes

Crepes Lab

What moves together in 338 crepe recipes

When a recipe uses more of one ingredient, does it tend to use more or less of another? For every pair of the 5 ingredient ratios (grams per 100 g of flour), this page ranks all 338 recipes on each and measures how closely the two rankings agree: Spearman's rho, from −1 (the more of one, always the less of the other) through 0 (unrelated) to 1 (always rise together).

10 pairs in all: 4 rise together at rho 0.20 or more, none move in opposite directions at −0.20 or less, and 5 are close to unrelated (between −0.10 and 0.10). This describes recipes as they are published; it does not say what changing one amount would do to a bake.

Every pair at once

Read a cell by its row and column. Caramel cells rise together, slate cells move in opposite directions, and the deeper the color the stronger the relationship. Pale cells with grey numbers are not distinguishable from no relationship with 338 recipes (p of 0.05 or more).

Liquid and egg: rho 0.27, weak0.27Liquid and butter: rho 0.04, negligible, not distinguishable from zero0.04Egg and butter: rho 0.31, weak0.31Liquid and sugar: rho 0.05, negligible, not distinguishable from zero0.05Egg and sugar: rho 0.08, negligible, not distinguishable from zero0.08Butter and sugar: rho 0.21, weak0.21Liquid and salt: rho 0.06, negligible, not distinguishable from zero0.06Egg and salt: rho 0.17, very weak0.17Butter and salt: rho 0.23, weak0.23Sugar and salt: rho 0.07, negligible, not distinguishable from zero0.07EggButterSugarSaltLiquidEggButterSugar
All 10 pairs as a table
Spearman correlation for every pair of ratios, strongest first
PairRhoStrengthp
Egg and butter0.31weakunder 0.001
Liquid and egg0.27weakunder 0.001
Butter and salt0.23weakunder 0.001
Butter and sugar0.21weakunder 0.001
Egg and salt0.17very weak0.002
Egg and sugar0.08negligible0.13
Sugar and salt0.07negligible0.17
Liquid and salt0.06negligible0.30
Liquid and sugar0.05negligible0.34
Liquid and butter0.04negligible0.43

The three clearest relationships

The strongest pairs that reach rho 0.20 either way with a p-value under 0.01. Each dot is a recipe; the line joins the median of the second ingredient within each fifth of recipes ranked by the first.

  1. Recipes with more egg tend to use more butter

    rho 0.31 across 338 recipes · weak · p under 0.001

    The third of recipes with the most egg use a median of 23% butter; the third with the least egg, 8%.

    0%50%100%150%200%250%0%20%40%60%80%Egg, % of flour →↑ Butter, % of flour
  2. Recipes with more liquid tend to use more egg

    rho 0.27 across 338 recipes · weak · p under 0.001

    The third of recipes with the most liquid use a median of 80% egg; the third with the least liquid, 71%.

    0%200%400%600%0%50%100%150%200%250%Liquid, % of flour →↑ Egg, % of flour
  3. Recipes with more butter tend to use more salt

    rho 0.23 across 338 recipes · weak · p under 0.001

    The third of recipes with the most butter use a median of 0.3% salt; the third with the least butter, 0.2%.

    0%20%40%60%80%0%1%2%3%4%Butter, % of flour →↑ Salt, % of flour

What moves on its own

Every ingredient moves with at least one other: none has its strongest correlation under 0.15.

The pairs closest to unrelated: liquid and butter (0.04), liquid and sugar (0.05), liquid and salt (0.06) and sugar and salt (0.07).

How the numbers are made

Spearman's rho is the ordinary correlation of the two rankings, so it measures whether one amount tends to rise with the other, in a straight line or not, and a single extreme recipe moves it little. A recipe with none of an ingredient ranks lowest on it. An ingredient fewer than 12 recipes use is left out of the matrix.

The p-value is the chance of a rho at least this far from zero if the two amounts were unrelated. With 10 pairs tested, about 0.5 would pass 0.05 by chance alone even if no ingredient were related to another, which is why the relationships explained above must pass 0.01 and reach 0.20.

Every number is divided by the same flour weight, so a recipe light on flour reads high on every ingredient at once. That nudges every correlation toward positive: part of a positive rho can be flour, not the two ingredients. A negative one holds despite it.

A correlation describes the recipes as published. “Recipes with more liquid tend to use…” is a statement about what bakers write down together, not a rule that adding one forces the other. Plot any two ingredients to see the recipes behind a number.