Page 344 - Statistics for Dummies
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                                         Part VI: The Part of Tens
                                                    the results from the two groups, attributing any significant differences to the
                                                    treatment (and to nothing else, in an ideal world).
                                                    This seaweed study wasn’t a designed experiment; it was an observational
                                                    study. In observational studies, no control for any variables exists; people
                                                    are merely observed, and information is recorded. Observational studies are
                                                    great for surveys and polls, but not for showing cause-and-effect relationships,
                                                    because they don’t control for confounding variables. A well-designed experi-
                                                    ment provides much stronger evidence.
                                                    If doing an experiment is unethical (for example, showing smoking causes
                                                    lung cancer by forcing half of the subjects in the experiment to smoke ten
                                                    packs a day for 20 years while the other half of the subjects smoke nothing),
                                                    then you must rely on mounting evidence from many observational studies
                                                    over many different situations, all leading to the same result. (See Chapter 17
                                                    for all the details on designing experiments.)
                                         Inspect the Numbers
                                                    Just because a statistic appears in the media doesn’t mean it’s correct. In
                                                    fact, errors appear all the time (by mistake or by design), so stay on the look-
                                                    out for them. Here are some tips for spotting botched numbers:
                                                     ✓ Make sure everything adds up to what it’s reported to. With pie charts,
                                                        be sure all the percentages add up to 100 percent (subject to a small
                                                        amount of rounding error).
                                                     ✓ Double-check even the most basic of calculations. For example, a pie
                                                        chart shows that about 83.33 percent of Americans are in favor of an
                                                        issue, but the accompanying article reports “7 out of every 8” Americans
                                                        are in favor of the issue. Are these statements saying the same thing?
                                                        No; 7 divided by 8 is 87.5 percent — if you want 83.33 percent, it’s 5 out
                                                        of 6.
                                                     ✓ Look for the response rate of a survey; don’t just be happy with the
                                                        number of participants. (The response rate is the number of people
                                                        who responded divided by the total number of people surveyed times
                                                        100 percent.) If the response rate is much lower than 50 percent, the
                                                        results may be biased, because you don’t know what the non-respon-
                                                        dents would have said. (See Chapter 16 for the full scoop on surveys and
                                                        their response rates.)
                                                     ✓ Question the type of statistic used, to determine whether it’s appropri-
                                                        ate. For example, suppose the number of crimes went up, but so did the
                                                        population size. Instead of reporting the number of crimes, the media
                                                        need to report the crime rate (number of crimes per capita).









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