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1 Studies in the History of Statistics and Probability ... - Sheynin, Oscar

1 Studies in the History of Statistics and Probability ... - Sheynin, Oscar

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example, <strong>the</strong> problem <strong>of</strong> <strong>the</strong> objectively established risk factors. To<strong>the</strong>se belong, on <strong>the</strong> one h<strong>and</strong>, portents <strong>of</strong> an illness established bymodern diagnostic means (e. g. changes <strong>in</strong> electro-cardiogram), on <strong>the</strong>o<strong>the</strong>r h<strong>and</strong>, factors <strong>of</strong> life <strong>and</strong> behaviour (age, smok<strong>in</strong>g, amount <strong>of</strong>cholesterol <strong>in</strong> <strong>the</strong> blood, etc). S<strong>in</strong>ce <strong>the</strong> bus<strong>in</strong>ess concerns someprecisely determ<strong>in</strong>ed factors ra<strong>the</strong>r than vaguely underst<strong>and</strong>ableexcessive tempo <strong>of</strong> modern life, a scientific <strong>in</strong>vestigation <strong>of</strong> <strong>the</strong>ir part is<strong>in</strong> pr<strong>in</strong>ciple not unlikely.The possible ways <strong>of</strong> <strong>the</strong> development <strong>of</strong> <strong>the</strong> IHD are little known,so <strong>the</strong> statistical method <strong>of</strong> study<strong>in</strong>g it is <strong>the</strong> ma<strong>in</strong> method. As usual,expectations here will be chiefly based on rely<strong>in</strong>g that a large amount<strong>of</strong> data will be able to compensate <strong>the</strong> deficiency <strong>of</strong> <strong>in</strong>formation about<strong>the</strong> essence <strong>of</strong> <strong>the</strong> phenomenon (<strong>in</strong> this case, <strong>of</strong> <strong>the</strong> IHD). And s<strong>in</strong>cethat disease develops gradually, over many years, it is desirable that<strong>the</strong> <strong>in</strong>vestigation covers not only a large number <strong>of</strong> people, but a verylong period <strong>of</strong> time as well (if possible, <strong>the</strong>ir whole life).A s<strong>in</strong>gle exam<strong>in</strong>ation <strong>of</strong> a large number <strong>of</strong> people presents seriousdifficulties; <strong>and</strong>, tak<strong>in</strong>g <strong>in</strong>to account that people usually move severaltimes dur<strong>in</strong>g <strong>the</strong>ir lifetime, you will underst<strong>and</strong> that <strong>the</strong> real difficultiesare great. It ought to be also borne <strong>in</strong> m<strong>in</strong>d that <strong>the</strong> relative number <strong>of</strong>cases (<strong>of</strong> people f<strong>in</strong>ally develop<strong>in</strong>g <strong>the</strong> IHD) is ra<strong>the</strong>r small, so that <strong>the</strong>population to be exam<strong>in</strong>ed mostly consists <strong>of</strong> non-cases (o<strong>the</strong>r people).Therefore, <strong>the</strong> loss <strong>of</strong> a non-case by <strong>the</strong> researcher is comparativelyunimportant, but los<strong>in</strong>g at least one case is extremely undesirable.However, if we allow <strong>the</strong> loss <strong>of</strong> people (for example, occasioned by<strong>the</strong> man’s move or refusal to come for <strong>the</strong> exam<strong>in</strong>ation), we do notknow whe<strong>the</strong>r it was a case or not <strong>and</strong> it should be attempted that <strong>the</strong>losses be as small as possible, so perhaps <strong>the</strong> greatest part <strong>of</strong> <strong>the</strong> entireeffort is spent to atta<strong>in</strong> that goal.The exam<strong>in</strong>ation covered practically <strong>the</strong> whole population <strong>of</strong> asmall American town Fram<strong>in</strong>gham aged 30 – 62 years at its beg<strong>in</strong>n<strong>in</strong>g.It is go<strong>in</strong>g on for more than 20 years <strong>and</strong> <strong>the</strong> cited source reports <strong>the</strong>results <strong>of</strong> <strong>the</strong> first twelve years. They are based on <strong>in</strong>vestigat<strong>in</strong>g 2187men <strong>and</strong> 2669 women not suffer<strong>in</strong>g <strong>in</strong>itially from <strong>the</strong> IHD. Itsdevelopment dur<strong>in</strong>g those twelve years was revealed <strong>in</strong> 258 men(11.8%) <strong>and</strong> 129 women (4.8%); it was known long ago that womensuffer from IHD more rarely than men.The connection between <strong>the</strong> risk factors measured dur<strong>in</strong>g <strong>the</strong> firstexam<strong>in</strong>ation <strong>and</strong> <strong>the</strong> probability <strong>of</strong> <strong>the</strong> development <strong>of</strong> <strong>the</strong> IHD dur<strong>in</strong>g<strong>the</strong> 12 follow<strong>in</strong>g years was considered. In general, it is possible to listra<strong>the</strong>r many such factors, but only seven were taken account <strong>of</strong>:1. Age (<strong>in</strong> years). 2. Content <strong>of</strong> cholesterol <strong>in</strong> <strong>the</strong> blood serum(mm/100 millilitre). 3. Systolic blood pressure (mm <strong>of</strong> mercurycolumn). 4. Relative weight (weight expressed <strong>in</strong> per cents <strong>of</strong> man’sweight relative to mean weight for appropriate sex <strong>and</strong> stature). 5.Content <strong>of</strong> haemoglob<strong>in</strong> (g/100 millilitre). 6. Smok<strong>in</strong>g (0, nonsmokers;1, 2 <strong>and</strong> 3, smok<strong>in</strong>g less than a packet daily, smok<strong>in</strong>g apacket <strong>and</strong> more than a packet). 7. Electro-cardiogram (0, normal, 1,abnormal).107

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