Statistics in Nutrition and Dietetics. Michael Nelson

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are collected, they may also provide evidence of a plausible physiological mechanism for causation. Detailed descriptions of these designs and their statistical analysis are given in epidemiological texts such as Rothman [9] or Margetts and Nelson [10].

      The risk of developing disease (or related outcomes) in the exposed group is compared with the risk of developing disease in the unexposed group. This is known as the Relative Risk.

Diagram displaying an ellipse labeled Population with an arrow pointing to a box labeled People without the disease having arrows to Exposed and Unexposed with vertical two-headed arrow in between labeled Compare, etc.

      In nutritional epidemiology, the meanings of ‘Exposed’ and ‘Unexposed’ are different from the meanings in infectious disease or occupational epidemiology. In infectious disease epidemiology, for example, a subject either is or is not exposed to a particular bacterium that can cause illness. In occupational epidemiology, a subject may be classified either as exposed or not exposed to a potential risk factor (e.g. asbestos dust). In nutritional epidemiology, in contrast, variables are usually continuous – no one has a diet that does not contain energy or iron, for example. Subjects are therefore classified into bands of exposure. ‘Exposed’ might mean someone in the top half of the distribution of intake, and ‘Unexposed’ might mean someone in the bottom half. Of course, degrees of exposure may also be ascertained in other spheres of epidemiology, but in nutritional epidemiology it is the norm and forms the basis for most analysis of risk.

      Measures of exposure in the past are usually determined by asking cases and controls about their habits in the past using a questionnaire (although sometimes there are records of exposure, for example the type of work someone did, or hospital records of birth weight). The past exposures of the cases are then compared with the past exposures of the controls. The relevant statistical outcome is the Odds Ratio: what are the chances of being exposed and in the disease group compared with being exposed and in the non‐disease group. This is the best estimate of the Relative Risk, which cannot be measured directly in case‐control studies [9, 10].

      Case‐control studies are much cheaper to carry out than cohort studies, but accurate measurements of past exposure are often difficult to collect. For example, asking someone what their diet was like 10 or 15 years ago is likely to be heavily influenced by the type of diet they consume now.

Diagram of case-control study design with arrows from boxes labeled Cases (with disease) and controls (without disease) heading to Measure previous exposures and two-headed arrow labeled Compare in between the boxes.

      Experimental Studies

      In epidemiology, experimental studies take two forms: clinical trials and community trials. The aim is to compare the impact of the active treatment on the relevant outcomes with the impact of a placebo.

      Clinical trials in epidemiology usually take the form of randomized controlled trials. The aim is to see if an intervention to alter exposure results, over time, in a change in outcomes. In epidemiology, clinical trials can involve thousands of subjects followed over many years, whereas studies relating to drug treatments or food interventions relating to changes in blood or urine biochemistry may involve only tens of subjects. The purpose in having such large studies in epidemiology is to be able to generalize to the population with confidence, and to take into account the many confounders (see below) that may operate in the real world.

      Community trials are intervention studies carried out in whole communities to see if some change in exposure is associated with a subsequent change in disease or mortality rates. Again, the study will involve a treatment community and a placebo community. The communities are matched (e.g. age and sex structure of the population, percentage of the population not in work). There may be more than one community in each group.

      Community trials are pragmatic in nature. The aim is to see if community‐based interventions have sufficient penetration and impact to bring about changes in nutrition‐related outcomes (e.g. the percentage of adults over the age of 45 who are overweight or obese). The identity of the individuals in the community who make the desired changes and their individual outcomes may not be known. A questionnaire can be used to find out the proportion of the population who were aware of the intervention (for example, advice on healthy eating provided in a GP surgery by the community dietitian), and height and weight data could be taken from the routine ‘healthy man’ or ‘healthy woman’ screening programmes being run in the same groups of GP surgeries.

      Community trials are much cheaper to run than clinical trials. They do not, however, provide the same wealth of detail about individual behaviours and outcomes and, as a consequence, provide less insight into causal mechanisms.

      Confounding and Bias

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