Hypothesis test on ordinal data

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Discussion Overview

The discussion centers on the application of hypothesis testing techniques to ordinal data, specifically in the context of customer satisfaction ratings. Participants explore the challenges and methods for conducting statistical tests on ordinal data, which is often treated differently than nominal data.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether techniques for nominal data can be applied to ordinal data, expressing frustration over the lack of resources on hypothesis testing for ordinal data.
  • Another participant suggests using the chi-square test, noting that it can be applicable with certain caveats.
  • Concerns are raised about the applicability of the chi-square test due to unknown population parameters and the ordinal nature of the data.
  • Participants discuss the potential use of proportions and binary variables to analyze customer satisfaction ratings, highlighting the complications introduced by a neutral category.
  • One participant mentions successfully using proportions and conducting a one-tailed test to assess satisfaction levels against a target percentage.
  • There is a suggestion that a t-test may not be appropriate due to the nature of the data, with a recommendation to focus on counting occurrences instead.

Areas of Agreement / Disagreement

Participants express differing opinions on the appropriate statistical methods for analyzing ordinal data, with no consensus reached on the best approach. Some advocate for the use of proportions and binary variables, while others question the validity of these methods.

Contextual Notes

Participants highlight limitations related to the unknown standard deviation and the challenges posed by the neutral category in customer satisfaction ratings. There is also a mention of the need for further clarification on hypothesis formulation.

Who May Find This Useful

This discussion may be useful for individuals interested in statistical methods for ordinal data, particularly in fields such as market research, customer satisfaction analysis, and social sciences.

ultimatejester
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Can i use the same the techniques used for nominal data on the ordinal data. I can't seem to find help on hypothesis test for ordinal data. This question contains categories (customer satisfaction) and they are in order so the data must be ordinal but they haven't taught us how to conduct a test on the ordinal data.


btw why isn't there any info on conducting a test on ordinal data anywhere. Not even google can find anything. Is it even possible to conduct an inference on nominal data.

Thank you.
 
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Thank you for replying(much sooner than i expected :)

I am familiar with chi distribution but i don't think it would work here since the population std. deviation and other attributes are unkown and because the data is ordinal i can't use basic techniques to figure them out either. All i have is the sample size which is 700 customers and their satisfaction rating with the company

1 = highly satisfied
2 = satisfied
3 = neutral
4 = dissatisfied
5 = highly dissatisfied

I will make another post right after this to elaborate further.
 
I could do proportions and use test statistic for proportions but the neutral category causes problem because that splits the customer base into categories.

-Satisfied
-Neutral
-Dissatisfied.
 
You could use binary variables:

Is the customer highly satisfied?
Is the customer at least satisfied?
Is the customer at least neutral?
Is the customer at least dissatisfied?
 
ultimatejester said:
Thank you for replying(much sooner than i expected :)

I am familiar with chi distribution but i don't think it would work here
Yes it would; see http://en.wikipedia.org/wiki/Pearson's_chi-square_test

You can also define binary "dummy" variables as CRGreathouse has suggested and test them individually or jointly.
 
i got it figured out. Thanks for the help. It is greatly appreciated.:smile:
 
hey

this may sound weird but i have the same question well it seems the same.. and I am stuck I am just wondering how you did it? did u use the population proportion?
 
Yes, i used proportions. You can change the code for success from 1,2,3,4,5 but the one you are really interested in is the "highly satisfied" or 1. I did a one tail test since the company wants to know where its is meeting the required 95% level. To get you started

H0: u=95%
H1: U<95%

Good Luck
 
  • #10
satisfaction question

so would you recommend using the t-test, since the std. dev. is unknown? also, wat would the null and alternative hypotheses be? thanks a lot!
 
  • #11
The null and alternative hypothesis are mentioned in my above post. You can't use the t-test. All you are allowed to do on data in count the occurences. Use proportions. Post here if you need more help.

Thanks.

Adil.A
 
  • #12
Hi,

I was wondering if u could post how u did that question.

I'm having the same problem and i still can't figure it out :(

Any help would be really appreciated! Thanks!

Dona.
 

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