Simple randomization, indivitual randomization unit, using random numbers table.
Numbers 01-10 for the water exercise group, Numbers 11-20 for the water exercise + calorie restriction group, Numbers 21-30 for the water exercise + Vitamin D supplementation group and Numbers 31-40 for the water exercise + Caloric restriction + Vitamin D supplementation group are considered in the researcher. Then the researcher close her/his eyes and select a number in the random numbers table and reads the first two numbers of that 5 digits number. for selecting other numbers researcher go through the column. The first 10 numbers witch those are smaller than 40 are allocated to the first group and continue this way to determine the samples of all groups. It should be noted that after assigning the samples to 4 groups, the homogeneity of the groups in terms of control variables is examined using SPSS software.
Allocation concealment:
To this porpuse the sequentially numbered, opaque, sealed envelopes (SNOPE) are used. In this way, after creating a random sequence, based on the sample size of the research (40 people), 40 envelopes with aluminum sheets (using aluminum sheets available in the market) are Prepared and each random sequence created is recorded on a card and the cards are placed inside the envelopes in order. In order to maintain random sequencing, numbering on the outer surface of the envelopes is done in the same way. Finally, the lids of the envelopes are pasted and placed inside the box, respectively. At the beginning of the registration process, one of the envelope papers will be opened in order, according to the order in which the eligible participants entered the study, and the assigned group of the partner will be revealed.