# How do you interpret phi coefficients?

## How do you interpret phi coefficients?

0 is no relationship. 1 is a perfect positive relationship: most of your data falls along the diagonal cells. -1 is a perfect negative relationship: most of your data is not on the diagonal….Interpreting the Phi Coefficient.

r value = | |
---|---|

+.30 to +.39 | Moderate positive relationship |

+.20 to +.29 | weak positive relationship |

### What is a good phi coefficient?

Interpretation of the Phi coefficient. I have general rule of thumb for correlation coefficients and you can use the same rule for the Phi coefficient. -1.0 to -0.7 strong negative association. -0.7 to -0.3 weak negative association.

#### What is a Phi value?

A Phi Coefficient (sometimes called a mean square contingency coefficient) is a measure of the association between two binary variables. For a given 2×2 table for two random variables x and y: The Phi Coefficient can be calculated as: Φ = (AD-BC) / √(A+B)(C+D)(A+C)(B+D)

**What is phi coefficient with example?**

The phi coefficient is the product-moment correlation coefficient when both variables are coded (0, 1). For example, the phi coefficient could be used to examine the relationship between gender (male [0] and female [1]) and left- (0) or right-handedness (1).

**Under what circumstances is the Phi Coefficient used?**

The phi-coefficient is particularly used in psychological and educational testing where the imposing of a dichotomy on a continuous variable is a frequent occurrence; variables where pass/fail categories are obtained in relation to a threshold score are typical (see PSYCHOLOGICAL TESTING THEORY).

## Under what conditions is the phi coefficient used?

### What does a negative phi coefficient mean?

The phi coefficient ranges from −1 to +1, with negative numbers representing negative relationships, zero representing no relationship, and positive numbers representing positive relationships.

#### How do you interpret phi coefficient and p-value?

The analysis will result in a Phi Coefficient and a p-value. Phi values range from -1 to 1. A negative value of Phi indicates that the variables are inversely related, or when one variable increases, the other decreases. On the other hand, positive values indicate that when one variable increases, so does the other.

**What is a Phi coefficient in R?**

How to Calculate a Phi Coefficient in R A Phi Coefficient (sometimes called a mean square contingency coefficient) is a measure of the association between two binary variables. For a given 2×2 table for two random variables x and y: The Phi Coefficient can be calculated as:

**What is the range of phi values?**

Phi values range from -1 to 1. A negative value of Phi indicates that the variables are inversely related, or when one variable increases, the other decreases. On the other hand, positive values indicate that when one variable increases, so does the other.

## Is the phi coefficient a suitable test for binary data?

Because both of these variables are binary with only two possible values per variable (male/female, yes/no), we know that the Phi Coefficient is a suitable test. The analysis will result in a Phi Coefficient and a p-value. Phi values range from -1 to 1.