Null-hypothesis for a Spearman’s Rho

Conceptual Explanation

With hypothesis testing we are setting up a null-hypothesis –

With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship –

With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis.

As you may recall, a Spearman’s Rho is a value that makes it possible to statistically test the relationship between two variables, with at least one of those variables being rank ordered (ordinal).

As you may recall, a Spearman’s Rho is a value that makes it possible to statistically test the relationship between two variables, with at least one of those variables being rank ordered (ordinal).

Person Time in biking phase

Place in running phase

A 4.5 hours 2nd

B 5.5 hours 1st

C 6.0 hours 3rd

D 6.3 hours 4th

E 7.0 hours 5th

As you may recall, a Spearman’s Rho is a value that makes it possible to statistically test the relationship between two variables, with at least one of those variables being rank ordered (ordinal).

Person Time in biking phase

Place in running phase

A 4.5 hours 2nd

B 5.5 hours 1st

C 6.0 hours 3rd

D 6.3 hours 4th

E 7.0 hours 5th

Here is a template for writing a null-hypothesis for a Spearman’s Rho:

Here is a template for writing a null-hypothesis for a Pearson Correlation:

There is no statistically significant relationship between the [insert variable] and [insert variable].

Example 1

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points. Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points. Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

School Top 10

Brown State 1

Brigham Young Academy 2

Alaska Tech 3

Northern Rhode Island U 4

Western Utah U 5

Bluegrass State 6

Etc. Etc.

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points. Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

School Top 10

Brown State 1

Brigham Young Academy 2

Alaska Tech 3

Northern Rhode Island U 4

Western Utah U 5

Bluegrass State 6

Etc. Etc.

Points

33.2

31.3

29.5

35.9

27.3

24.1

Etc.

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between team rankings and [insert variable].

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between team rankings and [insert variable].s

ProblemYou have been asked to determine the relationship between the ranking of teams and their average offensive output in terms of points.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between team rankings and the average point output.

Null-hypothesis for this ProblemThere is no statistically significant relationship between team rankings and the average point output.

Example 2

ProblemYou have been asked to determine if there is a relationship between states’ poverty rankings and the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is a relationship between states’ poverty rankings and the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

States Poverty Ranking Charter Schools per capita (10,000

people)

Washington 50th 6.2

Massachusetts 49th 5.9

Connecticut 48th 5.4

Oregon 47th 5.1

Minnesota 48th 4.9

Etc. Etc. Etc

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between [insert variable] and [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between states' poverty rankingsand [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between states' poverty rankingsand [insert variable].

ProblemYou have been asked to determine if there is an inverse relationship between states' poverty rankingsand the number charter schools per capita.

Template for a Spearman's Rho Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between states' poverty rankingsand the # of charter schools per capita.

Null-hypothesis for this ProblemThere is no statistically significant relationship between states' poverty rankings and the number of charter schools per capita.