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"Do I have to report all data and how should I deal with outliers if there are too many?" —answer to Academia StackExchange

I strongly believe in the validity of my hypothesis (which every experimentalist does I guess), but I can't find an explanation for the outliers, or the possible explanations are too many. Can I still publish with five good data points? How should I deal with the other five? I assume it's unethical to not report them, right?

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