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I have always found learning statistics to be hard without seeing examples, and taking for granted the answer. I am looking for a book that teaches statistics that fits my criteria below or comes close to it:

  1. teaches statistics using sample data,
  2. the statistical results is shown via calculations, and not my having to guess how the result was arrived,
  3. exercises that uses sample data along with detailed solutions, and not just an answer,
  4. calculations can use programming code, but not with proprietary software such as SAS, or MATLAB.

If anyone has come across such a book, that would be great.

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    $\begingroup$ I have given your question a slight copy-edit and I have suggested a more specific title; also the "self-study" tag is really for asking help with a textbook or course question rather than for book recommendations for learners, so I have retagged as "references". Please feel free to edit your title if you don't feel it reflects your needs, but "learning statistics" is certainly too broad. $\endgroup$ – Silverfish Feb 12 '15 at 13:40
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    $\begingroup$ Your question is quite similar to this one asking for an applied statistics textbook, but that is pitched at the graduate level. I think you need to make it clearer whether you are working at a graduate or introductory level. $\endgroup$ – Silverfish Feb 12 '15 at 13:42
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Springer has Use R! series that introduces various statistics topics illustrated with examples in R. Among other books by this publisher there are few that are worth mentioning:

All of those seem to meet your requirements - they are introductory, with multiple examples, but generally not in "use this black-box software that will compute it for you" fashion.

Of course there are better and worse books in the series, but generally you could try those as an introduction. As an additional profit you'll learn using R quite a lot from those.

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