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in which each population element has an equal<br />

chance of being included, and every combination<br />

of the sample is just as likely as any other<br />

combination to be chosen.<br />

A stratified sample is where the parent<br />

population is divided into mutually exclusive<br />

subsets, and a sample of elements is drawn from<br />

each subset. Stratified samples are tie most<br />

statistically etficient. They have the <strong>small</strong>est<br />

standard error <strong>for</strong> a given size, and allow the<br />

investigation of variables <strong>for</strong> <strong>part</strong>icular subgroups<br />

within the population.<br />

Stratified samples are further divided into<br />

proportionate and disproportionate samples. In<br />

proportionate stratified sampling, the size of the<br />

sample taken from each stratum depends on the<br />

relative size of the stratum in the population,<br />

whereas in disproportionate stratified sampling,<br />

the sample size depends on the variability within<br />

the stratum as well,<br />

A cluster sample is where the parent population<br />

is divided into mutually exclusive and exhaustive<br />

subsets and then a random sample is selected. If<br />

each of the elements within the selected subsets is<br />

studied, it is called one stage cluster sampling. If<br />

the selected subsets are also sampled, the<br />

procedure is two-stage cluster sampling. A<br />

systematic sample is a <strong>for</strong>m of cluster sample in<br />

which every element is selected after a randomly<br />

determined start.<br />

An area sample is one of the most important<br />

types of cluster samples in applied, large-scale<br />

studies. By defining areas as clusters, then<br />

randomly selecting areas, the investigator develops<br />

lists of population elements <strong>for</strong> the selected areas,<br />

An illustration of stratified random sampling is<br />

the 1972 fuclwood survey conducted by the Forest<br />

Products Research Institute (FPRI) (Sumarna and<br />

Sudiono 1973). The levels and territories of the<br />

government at the province, district, subdistrict,<br />

and village levels dictated the application of<br />

multi-stage sampling. Random sampling was<br />

carried out from the district level through the<br />

household level as consecutive elementary units.<br />

A distinction was made between urban and rural<br />

areas based on the assumption that levels of<br />

fuelwood consumption would differ. This was<br />

further subdivided into household, industry, and<br />

railway enterprise sectors. The industrial sector<br />

was divided into food and chemical industries,<br />

In a later FPRI survey (Dwiprobowo el al.<br />

1980), household and industrial samples were<br />

taken using a similar technique. The sample at the<br />

41<br />

district level was non-random, whereas<br />

subdistrict, village and household samples were<br />

taken at random. The earlier sample was<br />

designed to estimate fuelwood consumption in<br />

the entire province. The later survey<br />

emphasized the pattern of fuelwood<br />

consumption relative to other factors.<br />

Analysis and Interpretation of Data<br />

The purpose of data analysis is to interpret the<br />

collected in<strong>for</strong>mation. It consists of preliminary<br />

steps and statistical analysis.<br />

Preliminary Steps<br />

The preliminary analytical steps after<br />

obtaining field data are editing, coding and<br />

tabulation. Editing involves a careful scrutiny<br />

and correction of the completed data collection<br />

<strong>for</strong>ms. Particular attention is paid to<br />

unanswered questions, inconsistent answers and<br />

'do not know" responses.<br />

At the coding stage, raw data is trans<strong>for</strong>med<br />

into numbers that can be tabulated and counted.<br />

Coding involves a two step process of specifying<br />

the categories into which the responses are<br />

placed, and assigning code numbers to the<br />

categories.<br />

Tabulation consists of counting the number<br />

of cases that fall into various categories. Simple,<br />

or one way tabulation involves counting a single<br />

variable. In cross-tabulation two or more<br />

variables are treated simultaneously. An<br />

example would be counting the number of cases<br />

with characteristics in common. It studies the<br />

relationship among and between variab!es so<br />

the results can be easily understood. It can also<br />

provide an insight into the nature of a<br />

relationship since the addition of one or more<br />

variables to a two way cross-tabulation analysis<br />

is equivalent to holding each of the variables<br />

constant.<br />

Statistical Analysis<br />

Some studies stop after tabulation and<br />

cross-tabulation. Others involve additional<br />

analyses in a search <strong>for</strong> statistical significance.<br />

A recurring problem is the selection of the<br />

statistical testing procedure. The choice of an<br />

appropriate technique depends on the type of<br />

data, the <strong>research</strong> design, the assumption<br />

underlying the statistical test, and the power of<br />

the test.

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