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variable that influences the dependent variable even when it is
                    not explicitly stated in the study. An example of randomised
                    block design is a researcher investigating the effects of three
                    different exercise programmes (A, B, and C) on cardiovascular
                    fitness. In this example, the researcher can make age as the
                    blocking  variable.  The  researcher  divides  participants  into     ◆ Principles of local
                    three distinct age groups: young adults (18-25 years), middle-       control
                    aged  adults  (35-50  years),  and  older  adults  (60+  years).
                    Each age group serves as a separate block. Participants are
                    randomly assigned to one of the three exercise programmes
                    within each block. This random assignment guarantees that
                    participants in the fitness programmes for each age group are
                    distributed equally.

                    ◆ Latin square design
                    Latin  square  design  enables  the  researcher  to  manipulate
                    two extraneous variables. Each treatment appears an equal
                    number of times in each row and column in any one ordinate
                    position.  The  latin  square  design  is  used  when  there  are
                    multiple treatments or conditions to be compared, while also
                    controlling for potential confounding factors. The design is
                    structured like a grid, with each row and column representing
                    a treatment or condition. Each participant  receives one
                    treatment from each row and column, resulting in a balanced           ◆ Controls two
                    distribution of treatments. The latin square design is useful        extraneous variables
                    when there are factors other than the treatment of interest that
                    could influence the outcome, such as time, order, or specific
                    sequences of treatments. For example, a researcher aims to
                    examine the effects of three different fertilizers (A, B, and C)
                    on plant growth at three different locations (X, Y, and Z). The
                    latin square design ensures that each fertilizer is used once
                    at each location, and each location is used once with each
                    fertilizer.
                  The latin square design will be as follows:

                  Locations Fertilizers

                       X    A     B  C

                       Y    B    C   A


                            C
                       Z
                                 A
                    ◆ Factorial design  B
                    Factorial designs are used to measure the effect of multiple
                    independent  variables on the dependent variable.  Factorial
                    designs, unlike any other statistical design, allow for variable
                    interaction. An interaction occurs when the sum of the effects
                    of two or more variables taken together differs from the sum



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