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What are the sources which effect the growth study


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Table of Contents

Ø  Introduction……………………………………

Ø  Research Question…………………………….

Ø  Variable and Their Definitions………………..

Ø  Source of Data…………………………………

Ø  Quality of Data…………………………………

Ø  Model…………………………………………..

Ø  Inferential Statistics…………………………….

Ø  ETA Test……………………………………….

Ø  Correlation Test…………………………………

Pearson Correlation…………………………

Ø  Regression Analysis………………………………

Types of Regression……………………………..

Ø  Conclusion…………………………………………….

Ø  Reference………………………………………………

 

The Study of pre-and Postnatal Growth Study in Humans:

Introduction.

This review is divided in several items. A brief introduction on the characterization of the growth processes is made; the ways of assessing fetal development and well-being, the factors acting on fetal growth and birth weight, the causes and post-natal consequences of prematurity and intrauterine growth retardation are discussed in the first part. The following items deal mainly with: the normal pattern of growth from birth to puberty according to sex, race, and nutritional status, with special mention to pubertal changes; methods for predicting adult height from skeletal age; the effect of hormones during pre- and post-natal life; and the genetics of adult stature.

The remainder of this review deals with genetic causes of growth abnormalities. Constitutional delay of growth, familial short stature, hypothalamic-pituitary dwarfism, skeletal dysplasias and many genetic syndromes presenting intrauterine growth retardation are listed. Aneuploidy effects on human growth are extensively reviewed, and usual growth patterns in Down and Ullrich-Turner syndrome patients as well as other sex aneuploid individuals and mosaics are fully described. The influences of X and Y chromosomes on growth and maturation are also discussed. Finally, some remarks are made about overgrowth syndromes.

 

Research Question:

What are the source which effect the growth study.

 

Objective of the Study:

The objective of the study is to explore the determinents growth study.

 

Variables and Their Definations:

Dependent Variable:

Defination.

A variable representing observed values of an experiment or simulation by a model. Dependent variables may contain statistical weights.

1                    Distance :  This variable is used as a dependent variable.

 

 

Independent  Variables:

Defination.

A factor for which the researcher either selects or manipulates at least two levels in order to determine its effect on behavior.

1                    Gender:  This variable is used as a independent nominal variables.

2                    Subject:      This variable is used as a independent scale variable.

3                    Age:           This variable is also used as a independent scale variable.

 

Source of Data:

      www.spss.com/ programm files/ samples/ Growth study

Quality of the Data:

            Quality of the data is to the mark. No value of any variable is missing.

 

 

 

Model Summary For Variables.

 

                Distance

Subject

Gender

Age

 

 

 

 

 

 

 

 


Descriptive Analysis:

            I used the scatter diagrams to show the relationship between dependent and independent variables.

Justification of the Method:

            Keeping the objective of the study in mind, diagrams present the idea about the relationship between dependent and independent variables.

Frequency Distribution.

Table - 1

 

Statistics

Gender

 

N

Valid

108

Missing

0

 

 

Gender

 

 

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

Girl

44

40.7

40.7

40.7

Boy

64

59.3

59.3

100.0

Total

108

100.0

100.0

 

 

Interpretation:

Table -1 shows that the freqency table of the nominal variable. There is a frequency table that shows the numbers of boys and girls. Here 44 said girls and 64 said are boys. There is no any other missing value in that table of Gender variable.

Given this data set, it would be accurate to say that of those 40.7% were girls and 59.3% were boys. 

 

 

 

Table - 2

Summary Statistics

 

Distance

Subject

Age

  No. of

Observations

Valid

 

108

108

108

Missing

0

0

0

Mean

24.023

14.00

11.00

Median

23.769

14.00

11.00

Std. Deviation

2.9286

7.825

2.246

Variance

8.577

61.234

5.047

Skewness

.295

.000

 

Std. Error of Skewness

.233

.233

.233

Range

15.0

26

6

Minimum

16.5

1

8

Maximum

31.5

27

14

 

 

Interpretation:

Table 2 shows the summary statistics of the variables used in the growth study. These summary statistics reflect the overall picture of the variables. All variables have the postive growth study on average. Among all variables Subject variable shows the maximun value of standard deviation which show the large variability in the growth study of human.

Diagram-1

           

Bar Chart.

 

 

 

 

 

Interpretation.

In Diagram-1 I take variable gender at x-axis and count variable take on y-axis which shows the value of variable gender starting from 0 and end the point of 41. In gender variable of boys have a maximum value till 60. And also count variable at on y-axis which is already exits. But the overall bar of both variables are not  equal.

Bar graphs are a very common type of graph best suited for a qualitative independent variable. Since there is no uniform distance between levels of a qualitative variable, the discrete nature of the individual bars are well suited for this type of independent variable. Though you can extract trends between bars (e.g., they are gradually getting longer or shorter), you cannot calculate a slope from the heights of the bars.

 

 

Diagram-2

 

Histogrms Graph.

 

 

Interpretation:

            In Diagram-2 the frequencies are  ( number of subjects)  which is used on x-axis to show the the diagram of histogram. The value of  subject variable in histgram graph shows the normal curve which is shows the postive skewed. The mean value of the subject variable is 14 and has a 7.825 std. deviation during the N=108.

*       Histogram: Columns/bars touch; useful for larger sets of data points, typically used for frequency distributions.

*        

Diagram-3

Scatter Plot.

Subject….

 

 

 

Interpretation:

            In Diagram-3 the relationship between Distance and subjects.

In scatter plot I take the distance variable in x-axis as a dependent variable and I take subject as a independent at y-axis. The relationship between distance and subject shows the lianer curve which shows the postive relationship between two variables.

 

Diagram-4

 

Scatter  Plot.

Age in Years.

 

 

 

 

 

Interpretation.

 

            In Diagram-4 the relationship between Distance and Age in years.

In scatter plot I take the distance variable in x-axis as a dependent variable and I take age in years as a independent at y-axis. The relationship between distance and subject shows the lianer curve which shows the postive relationship between two variables.

 

The out put shows a scatter plot for two scale variables. Distance and Subject both are scale variables

A scatter plot or scattergraph is a type of mathematical diagram using Cartesian coordinates to display values for two variables for a set of data.

The data is displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the other variable determining the position on the vertical axis. This kind of plot is also called a scatter chart, scatter diagram and scatter graph.

A scatter plot is used when a variable exists that is under the control of the experimenter. If a parameter exists that is systematically incremented and/or decremented by the other, it is called the control parameter or independent variable and is customarily plotted along the horizontal axis. The measured or dependent variable is customarily plotted along the vertical axis.

Line graphs provide an excellent way to map independent and dependent variables that are both quantitative. Scatter plots are similar to line graphs in that they start with mapping quantitative data points. The difference is that with a scatter plot, the decision is made that the individual points should not be connected directly together with a line but, instead express a trend.

 

 

 

 

Box Plot.

 

 

 

 

Interpertations:

In the above diagram there are three vriables which shows the different values. The variables Distance have a great valve as compared to other variables. The valve of upper quartile of Distance variable is 33%  approxmatly. The value of  lower quartile of subject variable is approx 3%. Which shows the lowest value of subject varibles. The value of age in years variable has a upper quartile value is 14% which is very low as compared to other variables.

At the end I want to say that… The variable of Distance is overall better than other two variables according to diagram of Box Plot.

Reference:

            www.howstuffworks.com

            www.msnbc.msn.com

                                                                    

 

INFERENTIAL STATISTICS:

            Inferential statistics are used to make inference about a population from a sample based on the statistical relationships or differences between two or more variables using statistical tests with the assunption that sample is random in order to generalize or make predictions about the future.

Types of Test Used in Inferential Statistics.

·         Non Parametric Test

·         Parametric Test.

 

 

What is Non Parametric Test.

            Non parametric tests are the statistical tests that are used in when the level of measurement is nominal or ordinal. E.g chi-square or Kendall’s tau-b

And when assumptions about normal distribuation in the population is not met e.g spearman correlation.

What is Parametric Test.

            In Parametric Test that tests are involved

            Correlation

            Regression

            T-Test

Applicable Non Parametric Test.

Ø  Eta

Applicable Parametric Tests.

Ø  Correlation

Ø  Regression

 

 

ETA Test.

Hypothesis.

H0=there is no relationship between gender and distance.

H1=there is relationship between gender and distance

 

Case Processing Summary

 

Cases

 

Valid

Missing

Total

 

N

Percent

N

Percent

N

Percent

Distance (mm) from center of pituitary to pteryo-maxillary fissure * Gender

108

100.0%

0

.0%

108

100.0%

 

 

Distance (mm) from center of pituitary to pteryo-maxillary fissure * Gender Crosstabulation

Count

 

 

 

 

 

 

Gender

Total

 

 

1

2

Distance (mm) from center of pituitary to pteryo-maxillary fissure

16.5

0

1

1

17

1

0

1

19

1

1

2

19.5

0

1

1

20

1

3

4

20.5

0

2

2

21

2

3

5

21.5

5

4

9

22

3

1

4

22.5

6

1

7

23

2

9

11

23.5

3

4

7

24

4

2

6

24.5

2

6

8

25

4

2

6

25.5

4

2

6

26

3

4

7

26.5

3

1

4

27

1

1

2

27.5

2

1

3

28

2

2

4

28.5

0

1

1

29

1

0

1

29.5

0

1

1

30

1

0

1

31

1

2

3

31.5

0

1

1

Total

52

56

108

 

 

Directional Measures

 

 

 

Value

Nominal by Interval

Eta

Distance (mm) from center of pituitary to pteryo-maxillary fissure Dependent

.040

Gender Dependent

.492

 

 

Interpretation

Eta is use to check the strength of relationship between gender variables and Distance variable. The value of dependent variable is less than 0.33this mean that there is weak relationship between both variables. It means gender has small effect on distance. 

 

Correlation.  (scale versus scale)

 

 

H0=there is no relationship between distance and subject

H1=there is relationship between the subject and the distance.

Here to check the normality of variables used the scatter plot graph.

 

There is a difference between two variables is .002 thus why here pearson correlation is applied because the difference is less than 0.05

Here applied the Pearson correlation because the relationship is linear.

Pearson Correlation.

                                                                                                                                                

Scatter Plot:

R Square = Sq Quadratic – Sq Linear

R Square = (0.089 – 0.087) = .002

 

P = 0.002 is less than 0.05 so we will use Pearson correlation.

 

Interpretation:

            I draw a scatter plot graph to check linear or non linear. This graph is consists of both scale variables which shows the relationship. The difference between both sq quadratic and sq linear is a .002. this shows that the relation is Pearson correlation because the value is less than 0.05.

 

           

Correlation Test.

Correlation is a statistical process that determines the mutual (reciprocal) relationship between two or mare variables which are thought to be mutually related in a way that systematic changes in the value of one variable are accompanied by systematic changes in the other and vice versa.

 

 

 

Correlations

 

 

Distance (mm) from center of pituitary to pteryo-maxillary fissure

Subject

Distance (mm) from center of pituitary to pteryo-maxillary fissure

Pearson Correlation

1

.295**

Sig. (2-tailed)

 

.002

N

108

108

Subject

Pearson Correlation

.295**

1

Sig. (2-tailed)

.002

 

N

108

108

**. Correlation is significant at the 0.01 level (2-tailed).

 

 

 

Interpretation:

            To investigate if there was a statistically significant association between distance and subject a correlation was computed. Both variables were approximately normal there is a linear relationship between them hence fulfuling the assumptions for Pearson’s correlation.  Thus the pearson’s r is calucated, r =.295, p<0.05. so p value is .002. relating this that there is highly significant relationship between variables. The positive sign of the pearson’s test value shows that there is positive relationship.

 

Regression Analysis.

 

 

 

Regression Analysis is used to measure the relationship between two or more variables. One variable is called dependent variable and the other is called independents.

It is used to check that due to one unit changes in the independent variables how much changes occurs in dependent variables.

Types of Regression:

1)      Simple Regression

2)      Multiple Regression

Multiple Regression:

Multiple regression is used to check the contribution of independent varible in the dependent variable if the independent variables are more than one.

Here I use only Multiple regression because I used one dependent and three independents.

Hupothesis

H0=there is no relationship netween subject and distance

H1=there is relationship between subject and distance

H0= there is no relationship netween distance and age

H1=there is relationship between distance and age

 

H1 H0= there is no relationship netween distance and gender

H1=there is relationship between subject and distance gender.

 

Descriptive Statistics

 

Mean

Std. Deviation

N

Distance (mm) from center of pituitary to pteryo-maxillary fissure

24.023

2.9286

108

Subject

14.00

7.825

108

Gender

1.52

.502

108

Age in years

11.00

2.246

108

 

 

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.586a

.344

.325

2.4068

a. Predictors: (Constant), Age in years, Subject, Gender

 

 

ANOVAb

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

315.263

3

105.088

18.142

.000a

Residual

602.429

104

5.793

 

 

Total

917.692

107

 

 

 

a. Predictors: (Constant), Age in years, Subject, Gender

 

 

b. Dependent Variable: Distance (mm) from center of pituitary to pteryo-maxillary fissure

 

 

 

 

 

 

 

 

 

 

Coefficientsa

 

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

15.174

1.469

 

10.326

.000

Subject

.110

.030

.295

3.713

.000

Gender

.024

.465

.004

.051

.959

Age in years

.661

.104

.507

6.364

.000

a.    Dependent Variable: Distance (mm) from center of pituitary to pteryo-maxillary fissure.

 

 

Equation:                          Y = a+bx1+cx2+dx3

 

            Y= 15.174+ .110X1+ .024X2+ .661X3

                                Y = dependent variable       

                                A = Constant

 

                        b, c, d = Slop of coefficients

 

                        X1, X2,X3= Independent variable

 

 

 

Interpretation:

            Simultaneously multiple regression was conducted to investigate the best predictors of distancewhich is dependent variable. The means, standard deviation, and inter correlations can be found in table. The combination of variables to predict distance form subject, age of store location and gender was statistically significant, F=18.142, p < 0.05. The beta coefficients are presented in last table. Note that subject and age significantly predict distance when all four variables are included. The adjusted R value is .325.  And according to ANOVA Table the significant value is .000 which is less than .05 so the model is good fit.

 

Conclusion

           

            According the research there are three types of independent variables Distance, Age , and gender. And distance is a dependent variable. Independent variables have direct effect on the dependent variables we can enhance our ability to distance our in the study through subject. Subject  plays an important role for the improvement of study.

Reference

            Testmarket.sav from SPSS statistical software ver.16 sample file(s)

            www.answers.com/topic/independentvariable

            www.answers.com/topic/five-number-summary