Undergrad Calculating Delta Values: Paired t Test

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To calculate delta values using a paired t-test, the appropriate method is to pair results from the same day, specifically comparing upstream and downstream measurements for September and April. The focus should be on obtaining a net pollution value, which is crucial for assessing changes in pollution levels. There is confusion regarding whether the goal is to measure an increase or decrease in pollution, with some suggesting that the aim should be to demonstrate a reduction. A one-tailed t-test could be more relevant, testing the hypothesis that the mean delta exceeds 4 mg/L. This approach emphasizes the importance of using consistent timeframes for accurate comparisons.
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Using paired t test, how should I pair these results?
To calculate the delta values, should I use: downstream - upstream for both sep and apr ?
or upstream (sep) - upstream (apr) and downstream (sep) - downstream (apr) ?

Thanks
 

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What is the quantity that you want to test and which pairing gives you that quantity?
 
How do you get a net pollution value? Is there a typo on increasing pollution? Shouldn't it be lowering pollution?
 
lamlam1 said:
View attachment 240043

Using paired t test, how should I pair these results?
To calculate the delta values, should I use: downstream - upstream for both sep and apr ?
or upstream (sep) - upstream (apr) and downstream (sep) - downstream (apr) ?

Thanks

Only the delta for the same day makes sense as the concern is an upper limit of 4 mg/L increase. Not sure why comparing April and Sep as two populations is relevant, seems to me a one tailed t-test on the delta with a null hypothesis that the mean of the delta >4 would be the relevant test
 
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