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Bio Statistics: Data Analysis1 BIO STATISTICS: DATA ANALYSIS By (Name) The Name of the Class (Course) Professor (Tutor) The Name of the School (University) The City and State where it is located The Date
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Bio Statistics: Data Analysis2 Bio Statistics: Data Analysis Part 1 The charts are indicated below for the various variables 1396.56251514.3751321.8751353.43751364.2857141930 0 2 4 6 8 10 12 14 16 18 Parametric Variables SG Cr_gpd P2O5_gp d SO3_gpd Cl2_gpd eSO3_gp d nSO3_gp d N2_gpd UreaN_g pd NH3N_m Lpd UAN_gpd UV_mLPd Mean Values
Bio Statistics: Data Analysis3 1396.56251514.3751321.8751353.43751364.2857141930 0 100 200 300 400 500 600 700 800 Parametric Variables 2 mAc_mLpd oAc_mLpd Ac_mLpd UV_mLPd Mean Values Variability in the variable “UV_mLpd” can be considered moderately even with a single extreme outliner observed on the 3 day that significantly influences the overall results. The variability for SG variable is very consistent and within a small margin indicating limited deviations in the values observed throughout the six day. The same can be said for the variable Cr_gpd the variation is limited within a point 0.14 margin. On the other hand the variation so for the other variables contains more than one outliner indicating inconsistence in variation form one day to next(Heron, 2009). For the assessment of variability within and between groups by formulating assessment based on Urine volume andany one of the other variables we will use an Anova test with a confidence interval of 95%. For instance, the results of an Anova test conducted Urine volume and two other variables have the following results: Anova: Single Factor
Bio Statistics: Data Analysis4 SUMMARY GroupsCountSumAverageVariance UV_mLpd51608.244321.64882593.61 4 SG50.0234130.0046831.49E-06 Cr_gpd51.2879630.2575930.00511 ANOVA Source of Variation SSdfMSFP- value F crit Between Groups 3445792172289.5199.284 6 6.23E- 10 3.885294 Within Groups10374.4 8 12864.5398 Total354953. 4 14 In this situation, a biomarker is a naturally occurring characteristic that can be used to identify a particular pathological process or condition. The use of correlation analysis will aid with selection of the most suitable variable parameter to be used as a biomarker. Correlation results for Mean
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Bio Statistics: Data Analysis5 UV_mLpd UV_mLpd1 Mass_Kg0.6533 SG-0.8732 Cr_gpd0.220954 P2O5_gpd0.200521 SO3_gpd0.726242 Cl2_gpd0.909789 eSO3_gpd-0.95393 nSO3_gpd0.944315 N2_gpd0.421319 UreaN_gpd0.528814 NH3N_mLpd-0.76862 UAN_gpd-0.16747 mAc_mLpd-0.79395 oAc_mLpd0.97557 Ac_mLpd0.605678 Using then correlation the best biomarker will have to be oAc_mLpd which has the highest correlation value with urine volume. Part 2 In the situation where mean are 10 and 15 for drug C and X respectively and standard deviation is 5
Bio Statistics: Data Analysis6 a). An increase of 4mmhg in efficiency Sample Size Drug C30 Formulation X30 Total38 b). An increase of 5mmhg in efficiency Sample Size Drug C19 Formulation X19 Total38 In the situation where mean are 10 and 15 for drug C and X respectively and an increase in efficiency of 5mmhg a). At standard deviation is 4 Sample Size Drug C12 Formulation X12 Total24 b). At standard deviation is 5
Bio Statistics: Data Analysis7 Sample Size Drug C19 Formulation X19 Total38 b). At standard deviation is 6 Sample Size Drug C27 Formulation X27 Total54 For the results above it is clear that changing the level of efficiency and the standard deviation will undoubtedly affect the sample size of the participants required for the statistical test. It is therefore, correct to conclude that as the level of efficiency increase (the ability of the treatment to reduce hypertension) the small the sample size that will be utilized in the assessment. On the other, as the standard deviation increases the sample size that will be employed also increases. Therefore, an ideal situation is one where the standard deviation is small and the efficiency level is large(Smith, 2014). Type I error exists when we conclude that there is a difference between drug C and formulation X, when in really that difference is not present (false positive). This type of error can be mitigated by using a considerably small level of significant preferably less than 5%. Type II error represents failure to recognize a difference between the treatment offered by drug C and
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Bio Statistics: Data Analysis8 formulation X (false negative). A type II error can be reduced by ensuring the statistical power is greater than or equal to 95%(Charan & Biswas, 2013).