Test for significant differences between network measures (2024)

sofiejulie.vanneste

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#3960


Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

Richard DeJordy

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#3965


Hopefully someone with more statistical background will chime in here, but in the meantime, here are a couple thoughts.

If you only have five different (and importantly INDEPENDENT) networks, I suspect you will have difficult getting any meaningful significances for whole network measures.

One thing I have played with is using "Average Degree" as a measure, by including all the nodes' Degree centrality with an indicator of the network and then using T-Tests (for two networks) or ANOVA (for more than two) to see if the "Average" between groups is significantly different; HOWEVER, I am not certain that this would meet all the prerequisite conditions for such tests, as the "within network" observations are not truly independent of each other (and, for example, are sensitive to network size, etc.) My view is, if you don't find any statistical differences using this approach, there probably aren't any, but if you do, it may be an artifact of some other phenomenon. (Which may or may not be useful information for you.)

But, again, these are just a couple immediate thoughts so hopefully someone with more statistical insight will chime in.

Rich

toggle quoted messageShow quoted text

On May 9, 2011, at 3:27 PM, sofiejulie.vanneste wrote:


Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie


Mark Temple (Public Health Wales - Health Protection)

  • All Messages By This Member

#3969


Rich,

I’m not a statistician but as a Public Health Medic I live and work in a word drenched in statistics, I wonder if the real quest we need to answer is not the purely statistical one is there a significant difference between two networks, which I interpret as meaning are the differences so large that they are unlikely to be due to chance, that is essentially a value judgement however we dress it up as we select the rejection level of our hypothesis in advance.

In my view the important question is really Are the network so different that this has important implications. Again a judgement call but at least it is out in the open and clear. And the interpretation is very much based on your prior beliefs as to what is important and how much this new data alters that belief you hold.

To illustrate my point many new drugs are tested on very large numbers of subjects and can be shown to have “significant” advantages over tried and tested alternatives, but in reality the benefit is so small that the cost of the improvement is so large that actually both the patient and the payer will benefit from using the better known less expensive medication. There are always exceptions but the general point is that significant changes may be unimportant and non-significant ones (insulin for diabetics for example tested in a trial of one patient, who lived to be 75) can be very important!

Not sure if this helps or hinders but I could not resist offering my two ha’pennyworth.

Mark

Dr Mark Temple

GMC Reg Number: 2488589

Ymgynghorydd mewn Meddygaeth Iechyd Cyhoeddus, Teml Heddwch ac Iechyd,Caerdydd CF10 3NW

Consultant in Public Health Medicine, Communicable Disease Surveillance Centre, Public Health Wales,Temple of Peace and Health,Cathays,Cardiff, CF10 3NW

Ffôn/Tel: 029 2040 2471

Symudol/Mobile: 07850 313365 Ffacs/Fax: 029 2040 2529

Ebost/Email: Mark.Temple@...

Rhyngrwyd/Internet: www.iechydcyhoedduscymru.wales.nhs.uk/ www.publichealthwales.org/

Mewnrwyd/Intranet: nww.publichealthwales.wales.nhs.uk

toggle quoted messageShow quoted text

From: ucinet@... [mailto:ucinet@...] On Behalf Of Rich Dejordy
Sent: 10 May 2011 20:15
To: ucinet@...
Subject: Re: [UCINET] Test for significant differences between network measures

Hopefully someone with more statistical background will chime in here, but in the meantime, here are a couple thoughts.

If you only have five different (and importantly INDEPENDENT) networks, I suspect you will have difficult getting any meaningful significances for whole network measures.

One thing I have played with is using "Average Degree" as a measure, by including all the nodes' Degree centrality with an indicator of the network and then using T-Tests (for two networks) or ANOVA (for more than two) to see if the "Average" between groups is significantly different; HOWEVER, I am not certain that this would meet all the prerequisite conditions for such tests, as the "within network" observations are not truly independent of each other (and, for example, are sensitive to network size, etc.) My view is, if you don't find any statistical differences using this approach, there probably aren't any, but if you do, it may be an artifact of some other phenomenon. (Which may or may not be useful information for you.)

But, again, these are just a couple immediate thoughts so hopefully someone with more statistical insight will chime in.

Rich

On May 9, 2011, at 3:27 PM, sofiejulie.vanneste wrote:

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

John Skvoretz

  • All Messages By This Member

#3970


Snijders and Borgatti 1999 in Connections 22: 161-170 have some suggestions using bootstrap or jackknife.

John Skvoretz
5309 Ambrose Ct
Tampa FL 33647-1010

To: ucinet@...
From: fieke_vanneste@...
Date: Mon, 9 May 2011 19:27:49 +0000
Subject: [UCINET] Test for significant differences between network measures

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

Ray Paquin

  • All Messages By This Member

#3972


Rich, Mark & Sofie

I ditto what you`ve said below except that I use non-parametric equivalents of the t-test and anova, the Mann-Whitney and Kruskall-Wallace tests, since the network data is non-parametric. That said, I too, would be interested in more voices here.

Best,

Ray

toggle quoted messageShow quoted text

--- In ucinet@..., "Mark Temple (Public Health Wales - Health Protection)" <mark.temple@...> wrote:


Rich,
I'm not a statistician but as a Public Health Medic I live and work in a word drenched in statistics, I wonder if the real quest we need to answer is not the purely statistical one is there a significant difference between two networks, which I interpret as meaning are the differences so large that they are unlikely to be due to chance, that is essentially a value judgement however we dress it up as we select the rejection level of our hypothesis in advance.

In my view the important question is really Are the network so different that this has important implications. Again a judgement call but at least it is out in the open and clear. And the interpretation is very much based on your prior beliefs as to what is important and how much this new data alters that belief you hold.

To illustrate my point many new drugs are tested on very large numbers of subjects and can be shown to have "significant" advantages over tried and tested alternatives, but in reality the benefit is so small that the cost of the improvement is so large that actually both the patient and the payer will benefit from using the better known less expensive medication. There are always exceptions but the general point is that significant changes may be unimportant and non-significant ones (insulin for diabetics for example tested in a trial of one patient, who lived to be 75) can be very important!

Not sure if this helps or hinders but I could not resist offering my two ha'pennyworth.

Mark

Dr Mark Temple
GMC Reg Number: 2488589
Ymgynghorydd mewn Meddygaeth Iechyd Cyhoeddus, Teml Heddwch ac Iechyd, Caerdydd CF10 3NW
Consultant in Public Health Medicine, Communicable Disease Surveillance Centre, Public Health Wales, Temple of Peace and Health, Cathays, Cardiff, CF10 3NW

Ffôn/Tel: 029 2040 2471
Symudol/Mobile: 07850 313365 Ffacs/Fax: 029 2040 2529
Ebost/Email: Mark.Temple@...<mailto:Mark.Temple@...>
Rhyngrwyd/Internet: www.iechydcyhoedduscymru.wales.nhs.uk<http://www.iechydcyhoedduscymru.wales.nhs.uk/>/ www.publichealthwales.org/<http://www.publichealthwales.org/>
Mewnrwyd/Intranet: nww.publichealthwales.wales.nhs.uk<http://howis.wales.nhs.uk/sitesplus/888>

From: ucinet@... [mailto:ucinet@...] On Behalf Of Rich Dejordy
Sent: 10 May 2011 20:15
To: ucinet@...
Subject: Re: [UCINET] Test for significant differences between network measures

Hopefully someone with more statistical background will chime in here, but in the meantime, here are a couple thoughts.

If you only have five different (and importantly INDEPENDENT) networks, I suspect you will have difficult getting any meaningful significances for whole network measures.

One thing I have played with is using "Average Degree" as a measure, by including all the nodes' Degree centrality with an indicator of the network and then using T-Tests (for two networks) or ANOVA (for more than two) to see if the "Average" between groups is significantly different; HOWEVER, I am not certain that this would meet all the prerequisite conditions for such tests, as the "within network" observations are not truly independent of each other (and, for example, are sensitive to network size, etc.) My view is, if you don't find any statistical differences using this approach, there probably aren't any, but if you do, it may be an artifact of some other phenomenon. (Which may or may not be useful information for you.)

But, again, these are just a couple immediate thoughts so hopefully someone with more statistical insight will chime in.

Rich

On May 9, 2011, at 3:27 PM, sofiejulie.vanneste wrote:

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

sofiejulie.vanneste

  • All Messages By This Member

#3973


Dear John,

Thank you very much for the reference. However, as a layman in that field of research, I wonder how I should proceed to do a bootstrap.
I assume you can program this in some software programs? Because you cannot manually draw 5000 bootstrap samples, no?
Could anyone give me any tips how to proceed?

Thank you very much!
Sofie

toggle quoted messageShow quoted text

--- In ucinet@..., John Skvoretz <skvoretzj@...> wrote:

Snijders and Borgatti 1999 in Connections 22: 161-170 have some suggestions using bootstrap or jackknife.

John Skvoretz
5309 Ambrose Ct
Tampa FL 33647-1010

To: ucinet@...
From: fieke_vanneste@...
Date: Mon, 9 May 2011 19:27:49 +0000
Subject: [UCINET] Test for significant differences between network measures

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

Steve Borgatti

  • All Messages By This Member

#3974


Ucinet does have that (networks|compare densities) but it will only compare two relations.

steve

Stephen P. Borgatti

Paul Chellgren Endowed Chair of Management

Gatton College of Business and Economics

University of Kentucky

Lexington, KY 40508-0034 USA

E-mail: sborgatti@...; steve.borgatti@...

Tel: +1 859 257-2257 (O); +1 (512) 843-2674 (Google Voice)

Skype: steve.borgatti

Web: www.steveborgatti.com

toggle quoted messageShow quoted text

From: ucinet@... [mailto:ucinet@...] On Behalf Of sofiejulie.vanneste
Sent: Thursday, May 12, 2011 9:40 AM
To: ucinet@...
Subject: [UCINET] Re: Test for significant differences between network measures

Dear John,

Thank you very much for the reference. However, as a layman in that field of research, I wonder how I should proceed to do a bootstrap.
I assume you can program this in some software programs? Because you cannot manually draw 5000 bootstrap samples, no?
Could anyone give me any tips how to proceed?

Thank you very much!
Sofie

--- In ucinet@..., John Skvoretz <skvoretzj@...> wrote:
>
>
> Snijders and Borgatti 1999 in Connections 22: 161-170 have some suggestions using bootstrap or jackknife.
>
> John Skvoretz
> 5309 Ambrose Ct
> Tampa FL 33647-1010
>
>
>
>
>
>
> To: ucinet@...
> From: fieke_vanneste@...
> Date: Mon, 9 May 2011 19:27:49 +0000
> Subject: [UCINET] Test for significant differences between network measures
>
>
>
>
>
>
> Hi all,
>
> I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?
>
> Thanks much,
>
> Kind regards
> Sofie
>

sofiejulie.vanneste

  • All Messages By This Member

#3976


Dear Steve,

Thank you very much for your answer, but I would also like to know if differences in network centralities/average geodesic distance/... are significant.
When I want to compare densities through UCINET the network also needs to be composed of the same actors and in my case this requirement is not always fulfilled.

Thanks much,
Sofie

toggle quoted messageShow quoted text

--- In ucinet@..., "Borgatti, Steve" <sborgatti@...> wrote:


Ucinet does have that (networks|compare densities) but it will only compare two relations.

steve

Stephen P. Borgatti
Paul Chellgren Endowed Chair of Management
Gatton College of Business and Economics
University of Kentucky
Lexington, KY 40508-0034 USA
E-mail: sborgatti@...<mailto:sborgatti@...>; steve.borgatti@...<mailto:steve.borgatti@...>
Tel: +1 859 257-2257 (O); +1 (512) 843-2674 (Google Voice)
Skype: steve.borgatti
Web: www.steveborgatti.com<http://www.steveborgatti.com>

From: ucinet@... [mailto:ucinet@...] On Behalf Of sofiejulie.vanneste
Sent: Thursday, May 12, 2011 9:40 AM
To: ucinet@...
Subject: [UCINET] Re: Test for significant differences between network measures

Dear John,

Thank you very much for the reference. However, as a layman in that field of research, I wonder how I should proceed to do a bootstrap.
I assume you can program this in some software programs? Because you cannot manually draw 5000 bootstrap samples, no?
Could anyone give me any tips how to proceed?

Thank you very much!
Sofie

--- In ucinet@...<mailto:ucinet%40yahoogroups.com>, John Skvoretz <skvoretzj@<mailto:skvoretzj@>> wrote:

Snijders and Borgatti 1999 in Connections 22: 161-170 have some suggestions using bootstrap or jackknife.

John Skvoretz
5309 Ambrose Ct
Tampa FL 33647-1010

To: ucinet@...<mailto:ucinet%40yahoogroups.com>
From: fieke_vanneste@
Date: Mon, 9 May 2011 19:27:49 +0000
Subject: [UCINET] Test for significant differences between network measures

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

Robin

  • All Messages By This Member

#4875


Hello Steve,

a question regarding the specific routine you mentioned (Networks>Compare densities): does this function use the parametric or non-parametric variants of the bootstrapping technique in order to generate standard errors (according to Snijders & Borgatti 1999 Connections)?

Many thanks, Robin
________________________
Robin Kubitza, PhD student
Department of Biology, Section of Ecology
University of Turku
FI-20014 Turku
Finland

toggle quoted messageShow quoted text

--- In ucinet@..., "Borgatti, Steve" <sborgatti@...> wrote:


Ucinet does have that (networks|compare densities) but it will only compare two relations.

steve

Stephen P. Borgatti
Paul Chellgren Endowed Chair of Management
Gatton College of Business and Economics
University of Kentucky
Lexington, KY 40508-0034 USA
E-mail: sborgatti@...<mailto:sborgatti@...>; steve.borgatti@...<mailto:steve.borgatti@...>
Tel: +1 859 257-2257 (O); +1 (512) 843-2674 (Google Voice)
Skype: steve.borgatti
Web: www.steveborgatti.com<http://www.steveborgatti.com>

From: ucinet@... [mailto:ucinet@...] On Behalf Of sofiejulie.vanneste
Sent: Thursday, May 12, 2011 9:40 AM
To: ucinet@...
Subject: [UCINET] Re: Test for significant differences between network measures

Dear John,

Thank you very much for the reference. However, as a layman in that field of research, I wonder how I should proceed to do a bootstrap.
I assume you can program this in some software programs? Because you cannot manually draw 5000 bootstrap samples, no?
Could anyone give me any tips how to proceed?

Thank you very much!
Sofie

--- In ucinet@...<mailto:ucinet%40yahoogroups.com>, John Skvoretz <skvoretzj@<mailto:skvoretzj@>> wrote:

Snijders and Borgatti 1999 in Connections 22: 161-170 have some suggestions using bootstrap or jackknife.

John Skvoretz
5309 Ambrose Ct
Tampa FL 33647-1010

To: ucinet@...<mailto:ucinet%40yahoogroups.com>
From: fieke_vanneste@
Date: Mon, 9 May 2011 19:27:49 +0000
Subject: [UCINET] Test for significant differences between network measures

Hi all,

I wonder how you can test if -for example- certain obtained network measures (like network centrality, density,...) of five different networks differ significantly from each other (p < .05). Do you have any suggestions?

Thanks much,

Kind regards
Sofie

Test for significant differences between network measures (2024)

FAQs

What test is used to determine significant differences? ›

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related.

How to test significance of difference in difference? ›

The difference-in-difference method captures the significant differences in outcomes across the treatment and control groups, which occur between pre-treatment and post-treatment periods. In the simplest quasi-experiment, an outcome variable is observed for one group before and after it is exposed to a treatment.

How to tell if the mean difference is statistically significant? ›

A study is statistically significant if the P value is less than the pre-specified alpha. Stated succinctly: A P value less than a predetermined alpha is considered a statistically significant result. A P value greater than or equal to alpha is not a statistically significant result.

What test is used for difference? ›

The t test is one of the simplest statistical techniques that is used to evaluate whether there is a statistical difference between the means from up to two different samples.

What are the two types of significant tests? ›

There are four major types of significance tests. The Z-test and t-test look at differences in the mean values and the chi-squared and F-tests look at differences in variances. With experimental designs, we use the tests of significance for samples, the t-test and the F-test, not the tests for populations.

What is the ANOVA test used for? ›

ANOVA, or Analysis of Variance, is a test used to determine differences between research results from three or more unrelated samples or groups.

How do you test the significance of the difference between two means? ›

To test the significance of difference between mean we can use either the t-test or z test. When the sample size is large, we employ z test and when sample is small, then we use the t test. In this unit we are concerned with t test.

What does it mean when there is no significant difference? ›

If there is no significant difference between two sets of data, it means that the difference between the means of the two groups is not statistically significant[1][2].

What is a significant difference in p-value? ›

The lower the p-value, the greater the statistical significance of the observed difference. A p-value of 0.05 or lower is generally considered statistically significant. P-value can serve as an alternative to—or in addition to—preselected confidence levels for hypothesis testing.

How to interpret significant differences in research? ›

If p ≤ α , then the observed difference in sample means is statistically significant, and the null hypothesis is rejected.

What results showed statistically significant difference? ›

If a result is statistically significant, that means it's unlikely to be explained solely by chance or random factors. In other words, a statistically significant result has a very low chance of occurring if there were no true effect in a research study.

What statistical test to use for significant differences? ›

The independent t-test is also called the two-sample t-test. It is a statistical test that determines whether there is a statistically significant difference between the means in two unrelated groups.

What is the chi square test for difference testing? ›

The chi-square statistic compares the observed values to the expected values. This test statistic is used to determine whether the difference between the observed and expected values is statistically significant.

Which test is used to test the significance of the difference between among? ›

A t-test is a statistical test used to determine if there is a significant difference between the means of two groups. It assesses whether the difference observed in the sample means is statistically significant or if it occurred by chance.

When to use t-test vs z-test? ›

A z-test is used to test a Null Hypothesis if the population variance is known, or if the sample size is larger than 30, for an unknown population variance. A t-test is used when the sample size is less than 30 and the population variance is unknown.

When to use ANOVA vs t-test? ›

The Student's t test is used to compare the means between two groups, whereas ANOVA is used to compare the means among three or more groups. In ANOVA, first gets a common P value. A significant P value of the ANOVA test indicates for at least one pair, between which the mean difference was statistically significant.

What is a significant difference in t-test? ›

Normally will say that a P value of . 05 or less is significant in which case we reject the null hypothesis (accept the alternative hypothesis). If the P value is greater than 0.05, we accept the null hypothesis and conclude that there is no significant difference between the two groups.

What is the chi-square test used for? ›

A chi-square test is a statistical test used to compare observed results with expected results. The purpose of this test is to determine if a difference between observed data and expected data is due to chance, or if it is due to a relationship between the variables you are studying.

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