Rank the correlations Consider each of the following...

Rank the correlations Consider each of the following relationships: the heights of fathers and the heights of their adult sons, the heights of husbands and the heights of their wives, and the heights of women at age 4 and their heights at age $18 .$ Rank the correlations between these pairs of variables from highest to lowest. Explain your reasoning.

Rank the correlations Consider each of the following relationships: the heights of fathers and the heights
of their adult sons, the heights of husbands and the heights of their wives, and the heights of women at
age 4 and their heights at age $18 .$ Rank the correlations between these pairs of variables from highest to lowest. Explain your reasoning.

Key Concepts

Developmental Variation

Developmental variation captures the changes and variability in traits like height as an individual grows. For example, early childhood measurements might be less predictive of adult outcomes due to varied growth patterns, making the correlation between early-life and later-life measures typically lower than those based on fully expressed genetic traits.

Assortative Mating

Assortative mating is the tendency for individuals to select partners who have similar characteristics, such as height. This process creates a correlation between spouses' traits, but the strength of the correlation may be moderated by factors other than genetics, including social and environmental influences.

Correlation Coefficient

This is a statistical measure that quantifies the degree to which two variables move in relation to each other. In the context of comparing different relationships, it provides a standardized way to measure the strength and direction of the association between pairs of variables.

Heritability

Heritability refers to the proportion of variation in a trait, such as height, that is attributable to genetic differences between individuals. In relationships like that between fathers and their adult sons, a high heritability of height typically produces a stronger correlation because much of the variation is passed from parent to offspring.

Transcript

00:01 The current problem asks us to rank correlations, okay? and they want us to rank them from highest correlation, from highest correlation all the way to the lowest correlation, okay? and in order to do so, we need to understand the relationship between the variables, okay? so we're going to have three variable sets where we're going to be looking at their variables.

00:25 So the first variable set is when we talk about the heights between father, the height of the fathers, height, we're talking all three of them are going to be about heights between father, and i'm going to put one, but it doesn't mean i'm ranking them just yet.

00:43 So, hide between the height of the father and sons, the height of the sons, right? we're going to have another variable set of the height of husbands, husbands, and the height of wives and third we're gonna have the the height of woman woman of four years old four years old right and the height of women 18 years old and i'm just gonna put four and 18 so now to come to stop answering this problem i have to understand their relationship so first let's look at father and son so father son, they have a genetic relationship.

01:42 So if i'm doing a graph, comparing variable of the height of the fathers and the height of the son, doesn't matter where they are, they might have a correlation.

01:54 So this could be, well, the highest correlation.

01:58 But let's look at the next one.

01:59 Well, the second one is husbands and wives.

02:01 So husbands and wife, the only relationship they have is of that, of a romantic or contractual relationships.

02:10 So in that case, husbands and wives might not have a clear correlation between them in their heights.

02:19 And let's look at the third one...

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