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## Revista Brasileira de Farmacognosia

##
*Print version* ISSN 0102-695X

### Rev. bras. farmacogn. vol.22 no.6 Curitiba Nov./Dec. 2012 Epub July 17, 2012

**Probability sampling design in ethnobotanical surveys of medicinal plants**

**Mariano Martinez Espinosa ^{I}; Isanete G. C. Bieski^{II}; Domingos Tabajara de Oliveira Martins^{II}**

^{I}Departamento de Estatística, Instituto de Ciências Exatas e da Terra, Universidade Federal do Mato Grosso, Brazil

^{II}Departamento de Ciências Básicas em Saúde, Área de Farmacologia, Faculdade de Medicina, Universidade Federal de Mato Grosso, Brazil

**ABSTRACT**

Non-probability sampling design can be used in ethnobotanical surveys of medicinal plants. However, this method does not allow statistical inferences to be made from the data generated. The aim of this paper is to present a probability sampling design that is applicable in ethnobotanical studies of medicinal plants. The sampling design employed in the research titled "Ethnobotanical knowledge of medicinal plants used by traditional communities of Nossa Senhora Aparecida do Chumbo district (NSACD), Poconé, Mato Grosso, Brazil" was used as a case study. Probability sampling methods (simple random and stratified sampling) were used in this study. In order to determine the sample size, the following data were considered: population size (*N*) of 1179 families; confidence coefficient, 95%; sample error (*d*), 0.05; and a proportion (*p*), 0.5. The application of this sampling method resulted in a sample size (*n*) of at least 290 families in the district. The present study concludes that probability sampling methods necessarily have to be employed in ethnobotanical studies of medicinal plants, particularly where statistical inferences have to be made using data obtained. This can be achieved by applying different existing probability sampling methods, or better still, a combination of such methods.

**Keywords:** population, sampling, statistical inference, botany

**Introduction**

Since time immemorial, man has been using plants in different forms for the prevention and treatment of diseases. In addition, medicinal plants have been the main and most accessible form of therapy for the less privileged in the global population up to the present day. The World Health Organization, through its recommendations to developing nations, has been a formidable driving force in the popularisation of herbal medicine, particularly concerning scientific validation and preservation of ethnobotanical knowledge of medicinal plants (Ministério da Saúde, 2005).

Selection of medicinal plants with a view to discovering new pharmaceutical agents can be achieved by various means, but plant selection based on its popular use is by far the most promising by virtue of decreased time and cheaper cost incurred in the collection of this information (Albuquerque & Hanazaki, 2006). Towards this end, probability (Almeida & Albuquerque, 2002; Andrade, 2002; Pechansky et al., 2004; Poss et al., 2005; Cavéchia & Proença, 2007) and non-probability (Tomazzoni, 2004; Tomazzoni et al., 2006; Viganó et al., 2007; Jesus et al., 2009; Silva et al., 2010a) sampling methods are often used.

A non-probability sampling method implies the absence of any probabilistic mechanism in the sample selection, while probability sampling denotes the involvement of a probabilistic procedure in the sample selection (Bolfarine & Bussab, 2005), the latter being more appropriate when one wishes to ensure representativeness of the sample and greater robustness (Albuquerque et al., 2010b).

In ethnobotanical surveys of medicinal plants, the most commonly employed non-probability sampling methods are sampling by convenience and snowball sampling (Andrade, 2002; Pechansky et al., 2004; Poss et al., 2005; Cavéchia & Proença, 2007).

Convenience sampling is a sampling method in which units are selected based on easy access or availability. This method of sampling is generally less time-consuming and of lower cost. For this reason it is widely used despite its serious limitations, such as sources of bias in the selection of sample units. Thus, samples obtained by convenience are not suitable for research involving inferences about populations, but may be used in exploratory research (Mattar, 1996).

Snowball sampling is a technique that is often utilised for intentional selection of expert informants. In this method, the first contact with the community may be through a well-known expert, who then indicates another expert, and so on, until all the specialists in the community are covered. It may happen that an expert may not indicate another name for various reasons; if the researcher is aware of such a situation, the process may need to be repeated all over again (Albuquerque et al., 2010). It is noteworthy that convenience and snowball samples may not be representative for the purposes of making statistical inferences about the population.

In ethnobotanical surveys of medicinal plants, the most commonly used probability sampling methods are simple random, stratified, cluster and systematic probability sampling methods, or a combination of various complex sampling methods (Bolfarine & Bussab, 2005; Scheaffer et al., 2006; Silva et al., 2010).

Simple random sampling is a process whereby a sample size *n* of a random variable *X*, with a given distribution is selected from a finite population of *N* units, in such a way that each possible sample is given the same probability of being selected and all units of the population have the same probability of being included in the sample (Scheaffer et al., 2006; Levy & Lemeshow, 2008).

Simple random sampling is more representative provided that the elements of the population are homogenous, otherwise the population under study may have to be divided into groups or strata of elements that are more homogenous. In this way, variability within groups is smaller than within the total population, and in addition present higher representativeness at a lower cost. This process is defined as stratified random sampling (Bolfarine & Bussab, 2005; Scheaffer et al., 2006).

Stratified random sampling involves division of elements of the population under study into groups called strata, based on certain characteristics of interest in the population under study. Random samples are then selected from each stratum proportional to the stratum's size (Bolfarine & Bussab, 2005; Scheaffer et al., 2006).

When the unit of the population consists of a cluster or group of elements, then cluster sampling can be used. Cluster sampling is an efficient sampling technique designed to obtain information from a given population at low cost, either when there is no frame of reference or it is too difficult to have one, or when there is no register that lists the elements of the population, as well as when the cost to obtain samples increases with the distance separating the sampling units (Scheaffer et al., 2006; Levy & Lemeshow, 2008).

On the other hand, systematic sampling is a method of selecting sample members from a larger population according to a random starting point and a fixed, periodic interval. It is conducted by randomly selecting one unit from the first *k* units in the sampling frame and then every* k*^{th} unit. Where, *k= N* / *n, N* is the population size and *n* is the desired sample size. This technique is generally used for populations which have elements arranged according to a reference system (Scheaffer et al., 2006).

Considering that the use of a non-probability sampling method does not guarantee that the sample is representative and does not enable generalisations regarding the population under study to be made (Kish, 1965), it is, therefore, not suitable for research involving statistical inferences on the population (Bolfarine & Bussab, 2005). An alternative to this limitation of non-probability sampling in studies involving statistical inference is the use of probability sampling.

The present study aims to present a probabilistic sampling design for ethnobotanical studies of medicinal plants, using the Pantanal region of Nossa Senhora Aparecida do Chumbo district (NSACD), in Poconé municipal, Mato Grosso, Brazil as a case study.

**Materials and Methods**

*Area under study*

The study was conducted in the micro-areas of the communities of NSACD. This district is 30 km from the Poconé headquarters and 94.8 km from Cuiabá. NSACD consists of 37 communities, distributed in 16 micro-areas, totalling 3652 individuals belonging to 1179 families, as presented in Table 1. Micro-areas were considered instead of communities, because of official reasons: micro-area is an official term employed by the Ministry of Health to improve logistics in order to facilitate provision of health-related services to the families in these communities who will be attending local Family Health Units in the district (Poconé, 2008).

The population studied consisted of an individual (informant) per household, aged at least 40-years-old that had resided in NSACD for at least five years. We considered the family and not an individual in the sampling design for logistical reasons, and also considering that the district is a rural area. Moreover, in this setting, it is easier to identify an informant within the family.

*Sampling design*

A probabilistic approach was employed considering simple and stratified random sampling methods (Levy & Lemeshow, 2008) using as a case study the ethnobotanical survey of medicinal plants conducted at NSACD, in 2009 (Bieski et al., 2012).

Given the demographic details of the families studied, we were able to determine the sample size using a simple random sampling method. Towards this end, given a specified proportion (*p*), statistical expression (1) was employed to determine the number of families. Generally, most of the variables in this type of study are qualitative in nature, thus statistical tests of association such as chi-square test (*x*^{2}), prevalence and tests of proportions are frequently used.

In order to determine approximate sample size (*n*) for each micro area, in this case the number of families randomly selected, as well as to estimate the value of *p* with confidence interval of , expression (1) was used according to Bolfarine & Bussab (2005) and Levy & Lemeshow (2008):

Where:

*n* = approximate sample size;

*N* = population size of all the 37 communities of NSACD;

*p* = proportion of population considered, to which is assigned the value of 0.5;

*d* = limit to error estimate;

*α* = level of significance considered;

Z _{α}_{/2} = value obtained from the table of Standard Normal Distribution (Scheaffer et al., 2006).

It should be emphasised that if the population size is not known or if it is too large, equation (2) can be used instead of equation (1) to estimate the value of *p* with level of significance 1-α (Levy & Lemeshow, 2008):

Where:

*n* = approximate sample size;

*p* = proportion of population considered;

*d* = limit to error estimate;

*α* = level of significance considered;

Z _{α}_{/2} = value obtained from the table of Standard Normal Distribution (Scheaffer et al., 2006).

Once the approximate sample size was obtained, we proceeded with the determination of the number of families in each micro-area, which in this study is referred to as the stratum. It should be noted that instead of micro-areas, the strata could also be regions. Thus, a random stratified sample was obtained by separation of the elements of the population into groups, called strata, and then subsequent selection of a random sample from each layer.

Consequently, if the population is divided into *k* strata, a stratified random sample of size (*n*) will consist of *K* simple random samples of size *nk*. The sample size (*n*) was obtained by adding the sample sizes in each stratum given by the expression (3) (Bolfarine & Bussab, 2005):

Where:

*n* = approximate total sample size;

*nk* = approximate sample size in each stratum.

If the population in each stratum (micro-area) is given by *N _{k}* , then the population size (

*N*) is given by the sum of the size from each stratum, which can be obtained by the expression (4):

The sample fractions of the elements (*w _{k}*) contained in each stratum are obtained by the expression (5):

Where:

*n* = approximate sample size;

*n _{k}* = approximate sample size in each stratum;

*w _{k}* = sample fractions of the elements.

Thus, the sample size (*n _{k}*) in each stratum is given by the expression (6):

For *k* = 1,2,...,K.

Where:

*n* = approximate sample size;

*n _{k}* = approximate sample size in each stratum;

*w _{k}* = sample fractions of the elements.

**Results**

To illustrate this sampling procedure, we considered the data obtained in the ethnobotanical study that took place in NSACD (Bieski et al., 2012), presented in Table 1, of 1179 families distributed in 37 communities (Figure 1).

It is worth mentioning that, using the expression (1), a sample size of 290 or more families (*n* __>__ 290) was obtained for the 16 micro-areas. Therefore, with a sample of at least 290 individuals from 290 families randomly selected, it is expected that 95% confidence intervals estimated with a semi-amplitude of 0.05, will contain the true frequencies of the determined percentages. The value of *p*=0.5 was assigned due to lack of information of this value from ethnobotanical surveys of medicinal plants conducted in Mato Grosso. However, only 262 individuals were interviewed.

To determine the approximate sample size in each micro-area, we used expression (5) and (6), corresponding to the number of families and sample fraction, respectively.

Population fraction was first determined for each micro-area, by dividing the number of families in each micro-area with the total number of families of all the micro-areas (*N*=1179) as shown in Table 1. Thereafter, the sample size in each micro-area was obtained using expression (6), by multiplying the population fraction of each micro-area by 290, resulting in the sample size for each micro-area. However, during the application process of the data capture instrument, twenty eight (28) individuals were not present at their dwellings resulting in a sample loss of 9.7%.

For selection of families in each micro-area, a systematic random sampling was carried out to obtain a more representative sample using MINITAB, version 15.0 (Minitab, 2007) statistical package. Other statistical packages that have routines for random selection of numbers may also be employed.

Finally, it is worth pointing out that the techniques presented in this study can also be applied to other methods of probability sampling.

**Discussion**

Sampling by convenience is less time-consuming and least expensive when compared with other sampling techniques. Despite these advantages, this sampling method has serious limitations. It presents many potential sources of bias in the selection process, which includes among others, self-selection of respondents (Malhotra, 2004). According to Churchill (1998) another problem of sampling by convenience is that there is no way of knowing if all people in the sample are representative of the population and that the sampling method is less reliable because the researcher selects the sample due to convenience, with little rigor in the selection process.

The main advantage of snowball sampling is that it increases the possibility of getting the desired information in the population (Malhotra, 2004). Although, this technique is used in ethnobotanical surveys of medicinal plants (Andrade, 2002; Cavéchia & Proença, 2007), its use does not guarantee that the sample will be representative of the population being studied (Kish, 1965).

It should also be noted that although non-probability methods are commonly used in ethnobotanical surveys of medicinal plants, the results of any survey based on this type of sampling do not allow for generalisations of the population under study to be made. This is because the selection of each element depends on the judgment of the researcher, the sampling is therefore not randomised (Kish, 1965), thus not appropriate for research involving inferences about populations. However, they may be used in exploratory research to generate ideas and working hypotheses.

According to Malhotra (2004), probabilistic sampling techniques vary in terms of efficiencies of sampling. Sampling efficiency is a concept that reflects a trade-off between cost and accuracy of the sampling method. Precision refers to the level of uncertainty in the characteristic being measured or counted. The greater the precision, the higher may be the cost. The efficiency of a probabilistic sampling technique can be assessed by comparing it with simple random sampling (Silva, 2001).

In simple random sampling, all units have an equal chance of being sampled and all samples have an equal probability of being selected. Therefore, simple random sampling tends to produce representative samples and this procedure has greater validity when elements of the population are homogeneous (Scheaffer et al., 2006; Levy & Lemeshow, 2008).

If the population is not homogeneous then it is better to opt for stratified random sampling, which is done by separating the elements of the population into groups, called strata, and then subsequent selection of random sample from each stratum (Silva, 2001; Bolfarine & Bussab, 2005; Scheaffer et al., 2006).

The main reasons for using stratified random sampling instead of simple random sampling is to increase the accuracy and representativeness at a lower cost and to obtain estimates of population parameters with the population subgroups (strata).

The choice between the types of non-probability and probability sampling should be based on considerations such as the nature of the study, the variability within the population and also by statistical considerations. For example, in exploratory research, non-probability sampling can be used. On the other hand, in conclusive research where the researcher intends to use the results to estimate parameters, probability sampling is preferable (Malhotra, 2004).

Non-probability sampling has been widely used in ethnobotanical surveys of medicinal plants, however, due to its limitations it should be used only in situations where a statistical inference of the population is not intended.

Despite the high acceptability of the instrument and the sampling methods utilised, there was a loss of 9.7% of the samples due to the absence of a few of the respondents in their homes at the time of application of the questionnaire. According to Kish (1965) and Silva (2001) a loss of __>__15% of sample units compromises inferences about the data obtained. However, since the percentage loss recorded in this study was only 9.7%, it may be affirmed that it has no effect on the data analysis. This clearly demonstrates the applicability of using probability sampling.

In this study, simple random and stratified random probability sampling methods were employed, which allowed us to determine the precise size of the samples in each micro-area considered in the research, as well as helping to reduce the variance of the estimators.

Consequently, it is concluded that probability sampling needs to be employed if statistical inferences are part of the intended goals of the research.

**Acknowledgments**

The authors wish to thank all the informants and staffs of Family Health Programme of NSACD, for the assistance and contributions made throughout the ethnobotanical fieldwork, FAPEMAT and CNPq for granting scholarships, researcher, Dr. Rosilene Rodrigues Silva, UFMT Herbarium, Vali Joana Pott (MSc.) of CGMS Herbarium of Federal University of Mato Grosso do Sul, Dr. Célia Regina Araújo Soares of Herbário da Amazônia Meridional, Campus Alta Floresta of Universidade Estadual de Mato Grosso, for technical assistance in the identification of plant species, National Institute for Science and Technology in Wetlands, and Pantanal Research Center for funding the research work.

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** Correspondence:**

Domingos Tabajara de Oliveira Martins

Departamento de Ciências Básicas em Saúde, Área de Farmacologia

Faculdade de Medicina, Universidade Federal de Mato Grosso

Av. Fernando Correa da Costa, n. 2367, Campus Universitário

78060-900, Cuiabá-MT, Brasil

domingos.tabajara@pq.cnpq.br

Tel. 55 65 3615 8862

Fax: 55 65 3615 8863

Received 25 Aug 2011

Accepted 18 May 2012