CHAPTER 3

 

METHODOLOGY OF THE JAPA EXPERIMENT

           

Introduction

 

            Below are the hypotheses for this experiment. Since these hypotheses were statistically evaluated, they should, strictly speaking, be stated in terms of null hypotheses, because statistical techniques actually test null hypotheses by analyzing the strength of the sample evidence against the null hypotheses. That is, statistical methods assess whether a null hypothesis can be shown to be inconsistent with the observed data, and the null hypothesis is rejected or not rejected based on statistical tests. The practical purpose of this research, however, is to gauge the amount of support that the data provide for directional research hypotheses. Therefore, the hypotheses are stated in such terms. For instance, the first hypothesis of this study is that, at the .05 level the maha mantra group will show significantly decreased stress from pretest to posttest compared with the alternate mantra and control groups. If this hypothesis were stated in terms of a null hypothesis, it would state that there will be no difference between the change in stress scores from pretest to posttest between the maha mantra group and the other groups. Agresti and Finlay (1986) confirm that it is acceptable to state research hypotheses in terms of alternate hypotheses, instead of in terms of null hypotheses, when performing statistical tests.

            The primary hypotheses of this study were that, at alpha = .05:

            1) The intervention group will show significantly decreased stress from pretest to posttest compared with both the alternate mantra and control groups.

            2) The intervention group will show significantly decreased depression from pretest to posttest compared with both the alternate mantra and control groups.

            3) The intervention group will show significantly increased sattva from pretest to posttest compared with both the alternate mantra and control groups.

            4) The intervention group will show significantly decreased rajas from pretest to posttest compared with both the alternate mantra and control groups.

            5) The intervention group will show significantly decreased tamas from pretest to posttest compared with both the alternate mantra and control groups.

            Secondary hypotheses of this study were that, at alpha = .05:

            6) The intervention group will show significantly decreased stress from pretest to follow-up compared with the alternate mantra and control groups, though some decrement in the amount of decrease for the maha mantra group, compared with the other two groups, is expected in pretest-follow-up scores compared with pretest-posttest scores.

            7) The intervention group will show significantly decreased depression from pretest to follow-up compared with the alternate mantra and control groups, though some decrement in the amount of decrease for the maha mantra group, compared with the other two groups, is expected in pretest-follow-up scores compared with pretest-posttest scores.

            8) The intervention group will show significantly increased sattva from pretest to follow-up compared with the alternate mantra and control groups, though some decrement in the amount of increase for the maha mantra group, compared with the other two groups, is expected in pretest-follow-up scores compared with pretest-posttest scores.

            9) The intervention group will show significantly decreased rajas from pretest to follow-up compared with the alternate mantra and control groups, though some decrement in the amount of decrease for the maha mantra group, compared with the other two groups, is expected in pretest-follow-up scores compared with pretest-posttest scores.

            10) The intervention group will show significantly decreased tamas from pretest to follow-up compared with the alternate mantra and control groups, though some decrement in the amount of decrease for the maha mantra group, compared with the other two groups, is expected in pretest-follow-up scores compared with pretest-posttest scores.

            11) Gender will have no effect on stress, depression, sattva, rajas, or tamas, from pretest to posttest or from pretest to follow-up.

            12) Age will have no effect on stress, depression, sattva, rajas, or tamas, from pretest to posttest or from pretest to follow-up..

            13) Chanting frequency for the maha mantra group will be positively correlated with increase in sattva, and decrease in stress, depression, rajas and tamas, from pretest to posttest, and from posttest to follow-up.

            The main hypotheses of this experiment were that chanting the Hare Krsna maha mantra will increase the effects of sattva, and will decrease stress, depression, and the effects of rajas and tamas. Secondary hypotheses were that gender and age will not effect the variables mentioned above. More specifically, it was hypothesized that, when controlled for the effects of gender and age, chanting hare krsna will continue to effect the five dependent variables in the manner described above. A related research hypothesis was that the frequency with which one chants the Hare Krsna maha mantra will be positively associated with the strength of the effects on the dependent variables.

            Group status was the primary independent variable being tested. Other independent variables for which effects were statistically calculated were gender, compliance with required chanting frequency, and age. Gender and age were control variables. Dependent variables for this experiment included stress, depression, sattva, rajas, and tamas.

            Chanting was a categorical variable, with three categories corresponding to the three groups- maha mantra, alternate mantra, and control. These groups will be described in greater detail in the procedures section. Gender was a categorical variable, and chanting frequency and age were treated as interval variables, with age measured as an integer and chanting frequency calculated as a fraction of complete compliance with the instructions of the experiment. Measurement of age and chanting frequency are described in more detail in the measurement section. Instruments for measurement of the dependent variables are mentioned later in this introduction, and described more extensively in the measurement section of the chapter.

            There are three gunas described in the Vedas- sattva, rajas, and tamas. Descriptions of each guna  were compiled from the Bhagavad-gita As It Is, Chapters 14, 17 and 18 (Prabhupada, 1972). Sattva guna is characterized by qualities such as cleanliness, truthfulness, gravity, dutifulness, detachment, discipline, mental equilibrium, respect for superiors, sharp intelligence, sense control, and staunch determination. Attributes of rajas guna include intense activity, desire for sense gratification, little interest in spiritual elevation, dissatisfaction with one’s position, envy of others, and a materialistic mentality. Qualities associated with tamas guna include mental imbalance, anger, arrogance, depression, laziness, procrastination, and a feeling of helplessness. The gunas were measured with the Vedic Personality Inventory (Wolf, 1998) (see Table 1).

            Personal stress was measured with the Index of Clinical Stress (ICS) (Abell, 1991) (see Table 1), which assesses a person’s subjective response to external demands, as opposed to measuring one’s life events as an indicator of stress level. Depression was measured with the Generalized Contentment Scale (GCS) (Hudson, & Proctor, 1977) (see Table 1). This is a short-form measure of nonpsychotic depression specifically developed for repeated administrations (Hudson, & Proctor, 1977). Table 1 shows the dependent variables and the instruments proposed to measure them.

 

            Table 1

            Dependent Variables and Their Measuring Instruments

            Dependent Variable                  Instrument

            Sattva                                       Vedic Personality Inventory

            Rajas                                        Vedic Personality Inventory

            Tamas                                      Vedic Personality Inventory

            Personal Stress                                   Index of Clinical Stress

            Depression                              Generalized Contentment Scale

           

            In summary it was predicted that the chanting treatment group, compared with the alternate mantra and control groups, will increase in sattva, and will decrease in stress, depression, rajas and tamas. Chanting frequency was expected to be positively associated with the strength of effects of chanting Hare Krsna. To specify, increased chanting of the hare krsna maha mantra was predicted to increase sattva, and to decrease stress, depression, rajas and tamas. Further, as support for the main hypotheses, it was hypothesized that gender and age will have no effect on the dependent variables.

 

 

 

Design

 

            This study incorporated an experimental design, utilizing an experimental, control and placebo group. Each group was pre- and post-tested with a package of surveys, including a scale on depression, personal stress, sattva, rajas, and tamas. Random assignment was used to place subjects in groups. There was also follow-up testing for all groups.

            Two research assistants were employed for this study. Before contacting any subjects, each research assistant was trained in the basic principles and techniques of scientific experimentation, and specifically in the methods of this study. Specifically, the research assistants received instruction in confidentiality, preserving the integrity of data, and maintaining neutrality, as well as in the paperwork and timeframe for this study, and the method for teaching subjects how to chant.

            For pretest, posttest and follow-up there was a 5-day window for all members of all groups to be tested. Ideally, to minimize history effects, all subjects should have been tested at precisely the same time. This was not practically achievable, however, and therefore a 5-day period of testing was used. This will be further explained in the procedures section of this chapter. In addition to the 5-day window for evaluation of all participants, each participant had an individual 3-day window for completion of each testing phase. For instance, if a subject was pretested on November 17, then posttest should occur, based on a scheduled 28-day intervention, on December 15. Due to scheduling difficulties, it was not always possible to schedule posttest after exactly 28 days. Therefore, the participant was allowed to be tested within the 3-day window December 14-16. A similar 3-day window was used for follow-up scheduling. Though this windowing method increased the chance that history will adversely affect internal validity, it was used to minimize diffusion effects. That is, it was desirable for study participants to not know the identity of other participants, for this might lead to discussion of intervention effects during the study. Therefore, the design did not arrange for all subjects to congregate together during any phase of the study.

            After pretesting, members of the control group were informed that they were the control group, and they were requested to return in 28 days for the posttest. A member of the research team phoned control group members one or two days prior to posttest, to remind them of the appointment. Members of the treatment group were taught the intervention after pretest, and members of the placebo group were taught the placebo intervention. These two groups were instructed how to chant, and directed to do so for the next 28 days. Within three days after pretest for a member of a chanting group, a member of the research team phoned the chanter to check if there were any difficulties with following the procedures.Seven or eight days after a subject initially learned the chanting, the research team member met in-person with the subject to ensure that he/she was properly following the procedures. After this meeting, a member of the research team phoned the chanters approximately every seven days till the end of the chanting phase of the study, to ensure that procedures were properly followed. For these mid-intervention meetings and phone calls there was also a 5-day window, as well as a 3-day window for checking each individual participant, as described above with regards to posttest and follow-up. Each member of the study was phoned one or two days before follow-up, to remind them of the appointment.

 

Intervention

 

            The subject was given a string of 109 beads (japa beads), with one bead markedly larger than the others. The research team member had his/her own set of japa beads, and demonstrated the chanting method for the subject. With the thumb and middle finger of the right hand, the chanter holds the bead on either side of the large bead. Then the subject chanted the mantra. After the mantra is completed, the subject moves one bead through the fingers so that s/he is holding the second bead from the large bead. Again the chanter should chant the maha mantra. In this way, the participant should chant one mantra for each bead, until 108 mantras have been chanted. This constitutes one “round” of japa meditation. Japa can be performed in any circumstance. For instance, one may be sitting or walking. The essential factor is that one is fully attentive to the chanting. The treatment group was taught to chant the maha mantra- hare krishna hare krishna krishna krishna hare hare/ hare rama hare rama rama rama hare hare, and the alternate mantra group was taught to chant sarva dasa sarva dasa dasa dasa sarva sarva/ sarva jana sarva jana jana jana sarva sarva. The sarva dasa pseudo-mantra is a meaningless combination of Sanskrit syllables made up by the author. The alternate mantra was composed of the same syllabic pattern as the maha mantra. This controlled for the effects of syllabic pattern, and helped to isolate the effects of the mantras themselves.

            Members of both groups were instructed that this was an experiment on the efficacy of chanting the particular combination of words that they learned to chant. After the first day, subjects chanted on their own, though the research team member informed subjects that they could contact him/her if there were questions or concerns. Also, as described above, a research team member checked on the chanters approximately every seven days for the course of the intervention period. After 28 days of chanting, all three groups were posttested, and 28 days after posttest, all three groups were follow-up tested. Researchers kept a log of client contacts.

 

Internal Validity of Design

 

            Internal validity of a design refers to the design’s ability to allow inference about causality regarding the relationship between measured dependent and independent variables. Threats to internal validity of a design include history, maturation, testing, instrumentation, statistical regression, selection, mortality, diffusion, compensatory effects, resentful demoralization of subjects, and various interactive threats, such as the interaction between selection and maturation, selection and history, and selection and instrumentation (Cook and Campbell, 1979).

            Random assignment, as used in the experiment described in this dissertation, reduces threats to internal validity. Of course, randomization is probabilistic, and does not ensure equivalence of groups.

            The threat of diffusion was not eliminated with random assignment, and could be a factor in this study. However, each subject was dealt with privately, not in a group, except for a few instances when roommates or friends knew of each other’s involvement in the experiment. Still, most of the dozens of participants resided in the same mid-sized town, and therefore it is possible that subjects discovered the identity of each other, and they may have discussed their experiences of the intervention. Thus diffusion of treatments may be an issue. Research team members cautioned participants about discussing the study with other subjects, in case the identity of other subjects become known to them. Another threat to internal validity that may be active in this study is resentful demoralization of subjects placed in a group perceived to be less desirable. For instance, members of the control group may have become discouraged because they didn’t participate in the intervention. Posttest scores may reflect this discouragement, and this compromises the internal validity of the design. Further, while random assignment may effectively deal with the selection-mortality threat, mortality in this study did differ by group. The placebo mantra group experienced greater attrition than the maha mantra group, and this may be considered a threat to validity. However, such a mortality effect can also be viewed as a predicted consequence of the group design, especially when randomization is present (Cook & Campbell, 1979).

            Cook and Campbell (1979) differentiate between internal validity and construct validity, with threats to construct validity conceived as effects that can lead to invalid conclusions about the construct labels that should be attached to manipulations and measures. Construct validity threats include the effects of the experimenter as an independent variable, and the Hawthorne effect. Random assignment with a placebo intervention group should control for a Hawthorne effect, though differential effects of contact between research team members and the members of various groups may be a threat to internal validity. To reduce this risk, each team member was instructed in the importance of uniformity when they present study instructions and techniques to participants in the study.

Sampling

 

            Participants in the study were self-selected, and then screened by the researcher. The researcher placed advertisements in the college and city newspapers of a major state university in a mid-sized town in the Southeastern United States, requesting volunteers for this experiment. The researcher chose the first 93 acceptably screened respondents to the newspaper advertisements. Respondents were screened by phone interview by the researcher for traits such as debilitating mental disorders, availability to participate in the entire duration of the study, willingness to devote approximately half an hour a day for involvement in the study for four weeks, and prior experience with chanting, biofeedback, meditation, and other yoga techniques. Information on prior experience of subjects with yoga, biofeedback, meditation, and chanting was used to create two blocks, “past experience” and “no past experience”, for the random assignment to groups. With this method, the factor of prior experience was controlled. At the pretest meeting each subject signed a consent form for participating in research.

            On the morning following the final day of newspaper advertisements, names of participants were assigned numbers, and participants were assigned into groups with a random number table.  Specifically, the participant whose number corresponded with the first number chosen from the random number table was placed in the maha mantra group, the participant whose number corresponded with the second number chosen was placed in the control group, the participant whose number corresponded with the third number chosen was placed in the placebo group, the participant whose name corresponded with the fourth number chosen was placed in the maha mantra group, and so on. As described above, two blocks of participants, those having experience with mantras, meditation, yoga, or biofeedback, and those without experience, were randomly assigned to groups.

            All participants were at least 18 years of age and signed a form of voluntary consent before participating. Thirty-three subjects per group began the study. To facilitate recruitment a $40 financial incentive was offered to participants who completed the study. Though such monetary encouragement may have affected the type and motivation of subjects, the strategy of random assignment was used to equally distribute such effects in all three groups.  

            External Validity of Design

 

            According to Vedic theory, the effects of chanting hare krsna on the chosen dependent variables should apply to all people. Since the sampling method of this experiment was not random, results of the study cannot be inferred to apply to any population or sampling frame. Thus, the lack of random sampling greatly diminishes the generalizability, or external validity, of this study.

            Bracht and Glass (1968) distinguish between population and ecological validity, both of which are forms of external validity. Ecological validity refers to the conditions, including settings and experimenters, under which the same results of an experiment can be expected, and population validity refers to the persons to whom the results can be applied. Ecological validity assumes that the experimental effect is independent of the environment. With the sampling strategy of this experiment, it is not possible to assume that the effects will apply in different environments. For example, this study was conducted in a Southeastern university town, and therefore the results may not apply to a setting such as a Northeastern industrial city, or a rural area of a third world country.

            For population validity, the experimenter must make two inferential leaps- from the sample to the experimentally accessible population, and from the accessible population to the target population. Since the sample was self-selected, rather than randomly selected, even the leap to the population of the county where the study occurred is not possible.

            Other factors affecting external validity in this study include novelty effects, experimenter effects, and pretest sensitization. Novelty effects refer to the effects caused by the newness of an intervention, which will fade after some time. These effects reduce the generalizability of the findings, as do effects caused by interaction between the experimenter and subjects. Pretest sensitization refers to the possibility that response to the treatment may be affected by the pretest, and therefore results are not generalizable to persons who did not take the pretest.

            Though the external validity of this design is not strong, the procedures of the experiment are specified, and replication of the study is possible. With replication in various settings and with diverse populations, generalizability of the results of this study can be confirmed or disconfirmed.

Measurement

 

            The instruments that were used in this study were the Vedic Personality Inventory (VPI) (Wolf, 1998), the Generalized Contentment Scale (GCS) (Hudson, & Proctor, 1977), and the Index of Clinical Stress (ICS) (Abell, 1991). A description of the VPI was given in the measurement of spirituality section of the previous chapter, and a summary of that description is provided below. All of the instruments used in this study are found in Appendix D.

The Vedic Personality Inventory

 

            The VPI is an instrument that measures the three gunas- sattva, rajas, and tamas. The instrument contains 56 items, each of them with seven Likert-type response choices. Internal consistency alpha for the three subscales ranges from .93 to .94. Evidence for construct validity for the instrument has been obtained with relation to measures on verbal aggressiveness, hours of sleep per day, and life satisfaction. Regarding factor analysis, all items correlate positively and significantly with their intended subscale.

 

The Generalized Contentment Scale (GCS)

 

            The GCS (Hudson & Proctor, 1977) measures the magnitude of nonpsychotic depression, and consists of 25 items. It is a summated category partition scale that is scored on a range from 0 to 100. Positively and negatively worded items are used to counter response bias. Psychometric testing of the GCS was done on a sample of 124 persons of diverse occupations, and income and education levels. Test-retest and split-half reliability scores for the GCS ranged from .887 to .963, with a mean of .930. Also, the instrument showed good ability to differentiate between groups who described themselves as depressed and not depressed. Construct validity for the GCS has also been established.

            According to Hudson (1982), the GCS not only possesses strong reliability and validity, it is also suited for repeated measures with the same client. Specifically, the GCS is short, easy to complete and score, and does not suffer from response decay when used repeatedly over time. For these reasons, the GCS has been chosen as a measure for this pretest, posttest experimental design. Hudson (1982) provides scoring procedures for the instrument, including procedures to use when the subject does not complete all items. These procedures were used for scoring the GCS in this pilot study.

 

The Index of Clinical Stress (ICS)

 

            This measure was designed to assess the subjective aspect of stress in a generalized, unidimensional form (Abell, 1991). The 25 items of the instrument were designed to reflect the range of perceptions involved with subjective stress. This approach to measuring stress is differentiated from stress measurement as a result of external life situation and life events. An internal approach to assessment of stress level is appropriate for japa intervention, since chanting is hypothesized to positively alter one’s consciousness, or internal state.

            Each ICS item has a five-point response range, with some items negatively worded to avoid response bias. Abell (1991) provides scoring procedures for the scale, including procedures to use when not all items are completed.

            Psychometrics of the instrument were assessed using a sample of 265 persons, whose mean age was 33 years. Cronbach’s alpha for the sample was .963. The ICS has also shown strong factorial validity, convergent construct validity, and discriminant construct validity. Based on these results, Abell (1991) suggests that the ICS can be used with confidence by social work practitioners and researchers when single or repeated measures of subjective stress are required.

Compliance Log

 

            Subjects in the chanting groups were required to chant three rounds of japa per day. At pretest they were given a compliance log, in which they recorded the number of rounds they chanted each day for the duration of the intervention. A copy of this Compliance Log is in Appendix D. After the followup period a compliance percentage was calculated. The compliance percentage was calculated as:

 

number of rounds chanted during intervention x 100

number of days in intervention period x 3

 

            For example, if the subject chanted for 28 days, then 100% compliance would be 28 x 3 rounds = 84 rounds:    (84 x 100)/(28 x 3)  =  8400/84  =  100%

 

 

 

Other Data

 

            During the initial phone conversation with each subject, information was gathered regarding prior experience with chanting, biofeedback, meditation, and other yoga practices. Also, each member of the research team noted comments after each contact with a subject, paying special attention to factors such as anxiety about receiving payment for study, enthusiasm for the chanting, and discouragement about participation in the study. Experiences with the subjects of the pilot study alerted the researcher to the possible importance of noting reactions of these types.

 

Procedures

 

            From November 5-14, 1998 (see Table 2), the researcher placed newspaper advertisements in three community and student newspapers in a university town in North Florida. The advertisements read as follows:

Wanted: Participants in a study examining the effects of an Eastern-style intervention on stress and depression. $40 reimbursement. If interested, contact David Wolf at [phone number].

                When people responded by telephoning the researcher, he explained to them that this is an experiment testing the efficacy of an Eastern-style intervention on factors such as stress, depression, and spirituality. One-hundred-eight calls in response to the ads were accepted. Of the 108 callers, 93 made it to the stage of being randomly assigned to an experimental group, and the others either didn’t respond to return calls, or lost interest after hearing about the study. For the 93 participants, pretest meetings were scheduled from November 16-20, 1998 (see Table 2), at a place where the respondent felt comfortable, such as their home or a public place on campus. Also, during the phone call the researcher asked each subject “Do you have prior experience with chanting mantras, meditation, yoga, or biofeedback?” and noted the answer. Results from this question were used to create two blocks (“past experience” and “no past experience”) for the random assignment. On November 15, 1998, the researcher, by use of a random number table, randomly assigned respondents from each block to the three groups- maha mantra, alternate mantra, and control.

            From November 16-20 the researcher, or one of two research assistants, met with the study participants for a pretest meeting. At the beginning of each meeting the research team member explained the nature and purpose of the research, and the subject read and signed the Consent Form for Participating in Research. After signing this form each participant completed the package of surveys, including the VPI, ICS, and GCS. At the bottom of the VPI the participants filled in demographic items for gender and age. For control group members the research team member scheduled a posttest meeting between December 14-18, 1998 (see Table 2), making all efforts to schedule the posttest exactly 28 days after the pretest. For members of the two chanting groups, the research team member instructed the subjects to chant on japa beads, as described in the Design section of this Methodology chapter. At the end of the pretest session the research team member paid each subject $20. Upon receipt of this payment each subject completed a payment receipt (Appendix D). Also, at the end of the pretest session subjects in either of the chanting groups received a compliance log (Appendix D), and the research team member instructed them to record in this log the number of japa rounds they chanted each day. Control group members were informed at pretest that at the end of the study they would be introduced to the mantra.

            Of the 93 subjects who were randomly assigned to the three groups, 81 completed the pre-test session. Regarding the other 12, they either didn't show up for the pre-test meeting and didn't respond to attempts to schedule another meeting within the 5-day window, or during the pre-test meeting they decided they didn't want to participate.

            Each subject was phoned by a research team member one or two days after pretest, to ensure that they understood and were following the procedures of the experiment. A researcher visited each member of the two chanting groups between November 23-27. This visit occurred 6 to 8 days after pretest. The purpose of this visit was to ensure that the participants were chanting properly. During the visit the research team member chanted at least one round with the subject. Also, compliance logs were collected, and new compliance log sheets were distributed to subjects. From November 30-December 4, a research team member phoned each subject to check if there were any difficulties in participating in the study, to check if procedures were being properly followed, and to obtain any notable responses to the study by participants. A similar phone contact was made between December 7-11.

            Between the dates of December 14-18 (see Table 2) there was an in-person posttest meeting. During this posttest meeting, subjects completed the packet of measuring instruments after completing their chanting for that day. This posttest day was the final day of chanting for the two chanting groups. Posttest meetings were scheduled within 27-29 days of the pretest. Members of the control group were phoned one or two days before posttest to remind them of the schedule. Of the 81 participants who completed the pretest session, 64 remained after the posttest session. Of these 64, 20 were in the control group, 20 were in the alternate mantra group, and 24 were in the maha mantra group.

            For the 64 participants remaining after posttest, two had their 1-week meeting one day after the closure of the 3-day window, and one had the 1-week meeting 2 days after the closure of the 3-day window. For two subjects the posttest meeting was held two days after the closure of the posttest window. After the followup meetings, when data was analyzed, it was decided to retain the five subjects described above because none of them had outlying scores on any of the dependent variables.

            All participants were phoned on January 9 or January 10, 1999, to remind them of the follow-up appointment. A research team member personally met with each subject to administer the follow-up surveys and pay the remaining $20. In some cases, where a personal meeting was not possible, participants mailed the surveys to the researcher in a stamped envelope provided by the researcher at posttest, and the researcher mailed $20 to the participant upon receipt of the follow-up package. Follow-up measures were completed within 27-29 days of posttest. Participants signed a receipt for the $20 follow-up payment. Sixty-two subjects completed the entire study. After all subjects completed the follow-up session, surveys were scored and data was entered and analyzed using SPSS.

 

            Table 2

            Schedule for Hare Krsna Maha Mantra Japa Research Project

            Newspaper Ads for Participants                                           November 5-14, 1998

            5-day pretest window                                                             November 16-20

            5-day 1st week chanting check window                                    November 23-27

            5-day 2nd week phone call chanting check window                        Nov. 30- Dec. 4

            5-day 3rd week phone call chanting check window                        December 7-11

            5-day posttest window                                                            December 14-18

            5-day follow-up window                                                            January 11-15

 

Analysis

 

            Data for all instruments were treated as interval. For each instrument, a mean for each group in the study was calculated at pretest, posttest, and follow-up. Mean compliance log percentages were calculated for the two chanting groups, and mean ages were calculated for all three groups. Thus, there were four independent variables. Two of the independent variables, gender and group status (maha mantra, alternate mantra, or control) were categorical, and two were interval (age and compliance log frequency). There were five dependent variables, which were measured at the interval level by the instruments assessing stress (ICS), depression (GCS), sattva (VPI), rajas (VPI), and tamas (VPI).

            For each of the standardized instruments there were three means (pretest, posttest and follow-up) for each of the three groups. Therefore, there were 45 means for the standardized instruments. Also, each of the two chanting groups had a mean compliance log frequency, and all three groups had an average age.

            The main effects examined in this study were the effects of the group (maha mantra, control, and alternate) independent variable on the five dependent variables. Analysis of data in this study utilized the hierarchical analysis approach described by Cohen and Cohen (1983). With this approach to data analysis, independent variables are entered cumulatively in a prespecified sequence, in accord with the purpose and logic of the research. This procedure permits extrication of as much causal inference as the data allow. This is accomplished by protecting the main effects from potentially weakening statistical influences produced by secondary variables (Cohen & Cohen, 1983). Applied specifically to this study, gender and age were analyzed at the first level, since they are not caused by the group independent variable or chanting frequency. Since gender and age could be spurious variables in the analysis of the chanting variables, it was best to remove their effects before analyzing the variables related to chanting. Chanting frequency was analyzed at the next level of the hierarchy, and then the group status variable was analyzed. ANCOVA, with gender, age, and chanting frequency as covariates, was used to determine similarity of group means. When ANCOVA resulted in a significant F test, t tests were performed to determine which groups significantly differed. Analytical procedures will be described in more detail in the following chapter.

 

Power Analysis

 

            Power analysis for this 3-group design is explained in Cohen and Cohen (1983). Alpha level for each F test was .05. Orme and Combs-Orme (1986) offer three general strategies for determining effect sizes. These are estimations from previous research, effect sizes selected to indicate a population effect that would have either practical or theoretical significance, and effect sizes chosen from suggested conventional definitions of small, medium and large effect sizes. Based on the study of Janowiak and Hackman (1994), the maha mantra single system design pilot study, and Vedic theory, an effect size of at least r2 = .3 was expected. To be reasonably sure that effects would be detected, an r2 of .25 was used for calculation of power and sample size. According to Rosenthal (1997), an r2 of .25 indicates a strong association and large effect size. Multiple R2, the effect size of all the independent variables combined, was estimated to be .50, with chanting frequency expected to account for most of the explained model variance not explained by group status. From formula 4.5.1 on page 155 of Cohen and Cohen:

f2 = (R2Y.AB - R2Y.A)/(1-R2Y.AB)

= (.50 - .25) / (1 - .50)   =   .25/.50   =   .50

            Table E.2 on page 527 (Cohen & Cohen, 1983) provides power values for alpha = .05. Referring to that table, kB, which is the number of maain effect independent variables, equals one. Therefore, from table E.2, to achieve power of .8, as recommended by Cohen and Cohen, the L value for kB = 1 is 7.85.

            From page 155, formula 4.5.2, sample size (n) =  L/f2 + kA + kB + 1.  kB = 1, as described above, and kA = 3. kA represents the number of covariates.

 

            Therefore,  n =  (7.85/.50) + 3 + 1 + 1 = 20.70

 

            Thus, to achieve a power of .8 (Type II error rate of .2), with alpha (Type I error rate) = .05, a sample of at least 21 persons per group is necessary to detect an effect size for group status of r2 = .25.

 

Statistical Tests

 

            An ANCOVA was performed for each of the five dependent variables, and the t-tests within the ANOVAs were protected t tests (Cohen & Cohen, 1983). Using the protected t-test combines strong power attributes of the individual t test with the protection against large experiment-wise Type I error, due to the condition that the F test must meet the alpha significance level in order for subsequent t tests to be performed. Thus, the t tests are protected from the accumulation of small alpha levels to large expermimentwise error rates. Cohen and Cohen conclude that the protected t test is effective in keeping Type I errors low while maintaining good power levels. The independent variables of gender and age underwent the same procedures for analysis as the chanting-related variables, although these two other independent variables were analyzed at the first level in the hierarchical analysis in order to remove their effects from the chanting-related variables.

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