What's the Most Appropriate Type of Regression for this Problem?












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I have a data set from two groups: firms that use AI and their costs and firms that don't use AI and their costs. Within both groups I have data about their specific costs, e.g. fixed costs, variable costs, etc.



I'm not sure if regression is the best way to do this, but I want to explore whether firms that use AI have lower costs. Any ideas on how I'd do this? Could I run OLS on both groups and just compare? The sample for firms that use AI is ~40 and ~100 for those that don't.










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    I have a data set from two groups: firms that use AI and their costs and firms that don't use AI and their costs. Within both groups I have data about their specific costs, e.g. fixed costs, variable costs, etc.



    I'm not sure if regression is the best way to do this, but I want to explore whether firms that use AI have lower costs. Any ideas on how I'd do this? Could I run OLS on both groups and just compare? The sample for firms that use AI is ~40 and ~100 for those that don't.










    share|cite|improve this question



























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      I have a data set from two groups: firms that use AI and their costs and firms that don't use AI and their costs. Within both groups I have data about their specific costs, e.g. fixed costs, variable costs, etc.



      I'm not sure if regression is the best way to do this, but I want to explore whether firms that use AI have lower costs. Any ideas on how I'd do this? Could I run OLS on both groups and just compare? The sample for firms that use AI is ~40 and ~100 for those that don't.










      share|cite|improve this question















      I have a data set from two groups: firms that use AI and their costs and firms that don't use AI and their costs. Within both groups I have data about their specific costs, e.g. fixed costs, variable costs, etc.



      I'm not sure if regression is the best way to do this, but I want to explore whether firms that use AI have lower costs. Any ideas on how I'd do this? Could I run OLS on both groups and just compare? The sample for firms that use AI is ~40 and ~100 for those that don't.







      statistics regression linear-regression regression-analysis






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      edited Jan 5 at 21:59







      MathsHelp

















      asked Jan 5 at 21:51









      MathsHelpMathsHelp

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          You probably want to do a two-sample t-test since you are comparing two populations on one variable and you would like to check if the means of the costs from both groups are equal. There are a few variants of the two-sample t-test based on whether you want to pool or not.



          You probably want to use the null hypothesis:
          $$H_0 : mu_1 = mu_2$$ where $mu_1$ is the mean cost for the first population (those that use AI) and $mu_2$ is the mean cost for the second population, and use an alternative hypothesis of:
          $$mu_1 < mu_2$$ to see whether firms that use AI (population 1) have less cost.



          For reference, wikipedia article on t-tests or this article.






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            You probably want to do a two-sample t-test since you are comparing two populations on one variable and you would like to check if the means of the costs from both groups are equal. There are a few variants of the two-sample t-test based on whether you want to pool or not.



            You probably want to use the null hypothesis:
            $$H_0 : mu_1 = mu_2$$ where $mu_1$ is the mean cost for the first population (those that use AI) and $mu_2$ is the mean cost for the second population, and use an alternative hypothesis of:
            $$mu_1 < mu_2$$ to see whether firms that use AI (population 1) have less cost.



            For reference, wikipedia article on t-tests or this article.






            share|cite|improve this answer




























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              You probably want to do a two-sample t-test since you are comparing two populations on one variable and you would like to check if the means of the costs from both groups are equal. There are a few variants of the two-sample t-test based on whether you want to pool or not.



              You probably want to use the null hypothesis:
              $$H_0 : mu_1 = mu_2$$ where $mu_1$ is the mean cost for the first population (those that use AI) and $mu_2$ is the mean cost for the second population, and use an alternative hypothesis of:
              $$mu_1 < mu_2$$ to see whether firms that use AI (population 1) have less cost.



              For reference, wikipedia article on t-tests or this article.






              share|cite|improve this answer


























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                You probably want to do a two-sample t-test since you are comparing two populations on one variable and you would like to check if the means of the costs from both groups are equal. There are a few variants of the two-sample t-test based on whether you want to pool or not.



                You probably want to use the null hypothesis:
                $$H_0 : mu_1 = mu_2$$ where $mu_1$ is the mean cost for the first population (those that use AI) and $mu_2$ is the mean cost for the second population, and use an alternative hypothesis of:
                $$mu_1 < mu_2$$ to see whether firms that use AI (population 1) have less cost.



                For reference, wikipedia article on t-tests or this article.






                share|cite|improve this answer














                You probably want to do a two-sample t-test since you are comparing two populations on one variable and you would like to check if the means of the costs from both groups are equal. There are a few variants of the two-sample t-test based on whether you want to pool or not.



                You probably want to use the null hypothesis:
                $$H_0 : mu_1 = mu_2$$ where $mu_1$ is the mean cost for the first population (those that use AI) and $mu_2$ is the mean cost for the second population, and use an alternative hypothesis of:
                $$mu_1 < mu_2$$ to see whether firms that use AI (population 1) have less cost.



                For reference, wikipedia article on t-tests or this article.







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited 2 days ago

























                answered 2 days ago









                twnlytwnly

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