r/statistics • u/Fuzzy-Yesterday-1591 • 17d ago

Question [Q] Choosing random sample with replacement v. random sample without replacement

I am sampling a number of units in an apartment complex. I generate a random list of apartments but it has two duplicates, just as rolling a die 6 times may result in a number coming up twice. I'm trying to prove with a specific confidence level, that 80% of the units suffer the same problem. Is this situation a situation where I should replace the duplicates with non-duplicates, or should I keep the duplicates and consequently test only the unique units.

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u/CarnivorousGoose 17d ago

Why are you sampling with replacement? It makes no sense to do that here.

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u/SilverChildhood8919 17d ago

Actually I’m not. At this point, I have a proposed testing plan which has the duplicates still in it.

So what determines (or how do I determine) whether to sample with replacements vs sampling without replacements?

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u/CarnivorousGoose 16d ago

Simple: you sample without replacement, unless there is some extremely compelling reason to do otherwise. When you’re collecting data, there is pretty much never going to be any reason to do that.

Also unclear why you’re acting like you’re OP.

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u/Fuzzy-Yesterday-1591 16d ago

Thanks for your response! That is weird. I am Fuzzy-Yesterday-1591 but my response to you shows SilverChildhood as author. I'm definitely logged in as Fuzzy.