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Showing posts with label statistics assignment help. Show all posts
Showing posts with label statistics assignment help. Show all posts

Wednesday, December 14, 2011

The Pareto Chart Help in Statistics

The Pareto Chart is based on The Pareto principles of Italian Economist Vilfredo Pareto in 19th centaury. The Pareto principles state that the most effects are the result of relatively of few causes that is, 80 % of effects come from 20 % of the possible causes. Materials, raw materials and operators can be taken as example.

The Pareto Chart: The Pareto chart can also be known as, the Pareto diagram. There can be two types of Pareto Charts such as, a weighted Pareto chart or a comparative Pareto Chart. A Pareto chart is a special bar graph, where the lengths are represented by frequency or cost, time or money that are arranged with the longest bars on the left and the shortest to the right side. Thus, a chart visually exhibits the relative importance of problems or conditions.

Today in the subject of Statistics, Pareto Chart is of a great importance.

Here are the few steps involved in constructing a Pareto Chart:

· The problem to be analyzed is defined and to identify the different potential causes.

· Decide which criterion to use when comparing the possible causes such as, how often the different causes occur, their consequences or costs.

· Define the time interval during which data will be collected and carry out the data collection for the selected criterion.

· Place the causes from left to right on the horizontal axis of the chart, in descending relative importance. Rectangle lines are drawn to represent the heights.

· It is necessary to mark the data value on the left vertical axis and the percentage value on the right and a curve of cumulative is drawn along the top edges of the rectangles.

An illustration is given below to explain the use of a Pareto Chart:

This illustration explains how a Pareto Chart works. Many studios around the world make televisions commercials. One studio specialized in shooting ads starring cats. Lately, many factors took place for the delay of the commercial such as, lack of equipment, technical problems with audio and video, rework of scripts and misbehaving cats.

Causes of Cat distress Time lost due to the cause Total time lost due to the cause

Not been fed 4, 3, 5, 2, 5, 3 22

Not been cuddled 3, 3, 5, 3 14

Studio too cold 9, 2, 4, 6, 4, 5 30

Too much noise 20, 15, 35, 20, 9, 16 115

Smell of previous cat still present 41, 68, 39, 60, 29, 52, 19, 8 316

Surface to sit/lie on not appealing 2, 4, 1 7

The above given details can also be explained with a graphical example.

Time lost (Minutes) Cumulative % time lost
















Monday, May 9, 2011

Using SPSS for Statistics Assignment Help from HelpWithAssignment.com

Introduction about SPSS:

SPSS is one of the computer programs, which involves Assembly language the second level, general purpose of C language is the third level and the fourth level refers to program developed for specific purpose or Domain such as, SQL and SPSS (FOLDOC). The syntax of 4th level language is removed from the instructions executed by the computer and there are easy to use because of their syntax which is, often a resemble statements in human language. It is not necessary to be a SPSS Programmer to know what the program will do.

For Example:

GET FILE = ‘data.sav’

SORT CASES by id.

FREQUENCES VARIABLE = age sex race.





History of SPSS:

SPSS was developed in late 1960’s by Norman H. Nie, C. Hadlai Hull and Dale H. Brent. Their purpose was to develop a software system based on the ideas of using statistics to turn raw data into information which is essential to ‘decision making’. SPSS is a statistical analysis package which was produced and sold by multinational companies. Earlier SPSS initials stood for Statistical Package for Social Science, where as today the market for SPSS has become much broader, now simply the name is used for Product and Company and not an acronym.

Development of SPSS:

Many Statistical computations involve sequences of simple arithmetic operations repeated over number of times. For example, the computation of a common statistics such as, Standard deviation is as follows:

· Determine the number of cases;

· Compute the sum of all observed values;

· Divide this sum by number of cases; as this gives the mean;

· For each case, compute the observed value minus mean;

· Compute the squares of these differences;

· Determine the sum of all squares;

· Divide this sum by number of observations minus 1;

· Find the root of the division result;

This is a useful exercise to perform computation by hand once or twice, to get same feel for statistics. But doing the arithmetic in situation involving a hundreds of cases would be a terrifying job.

The use of SPSS in Statistical research:

The research process: Many Scientists devised all sorts of schemes for better structuring the process of statistical research. A project starts with the formulation of the problem from which one or more testable hypothesis is derived. In order to test the hypothesis of has to collect the data which is subjected to Statistical Analysis.

1. Designing the Questionnaire: After defining the issue on which the field study provides, a questionnaire is developed and conducted. The module data entry enables to present question and answers are in a well-organized form. Data entry can be automatically checked while entered. Skip questions that are not relevant for respondent and, where needed, recode the data.

2. Creating the data: SPSS can import data files created with various database (for eg. Access) spreadsheet packages.

3. Checking the data: After the data has been entered or converted has to be checked. Using the module data entry has the option to automatically check the data during the input process.

4. Transferring the data: This is only needed when not all the original data are to be used in the analysis. Transforming may involve the following operations:

(a) Variables: Transforming variables are grouping values into categories or computing the new variables.

(b) Cases: Transforming the cases involves selecting a group of cases or sorting the data.

(c) Entire data File: Transforming the entire data file means merging multiple data files or transposing a data file.

5. Analysis of data: This is the fifth step in the research process is performed by the actual statistical analysis. As, SPSS consists of a base module plus a number of add-on modules. This analytical techniques detailed can be categorized into the following six groups:

1. Describing variables: This analysis helps the researcher to understand the nature of data, which is useful for determining the subsequent analysis. A variable may be described in terms of the following:

(a) The Frequency of each value: The frequency of each value, determining the frequencies of values is nothing more than counting their occurrence. The frequencies can be summarized in a table for which SPSS has the Frequencies command.

(b) The central tendency: The central tendency refers to a average group of cases. The following statistics are used:

1. The mode: The value with the highest frequency is used for nominal variables in particular.

2. The median: The value corresponding to the middle most case when cases are sorted in ascending or descending order, these are used for ordinal variable in particular.

3. The mean: The sum of all cases divided by number of cases, these are used for interval variables and ratio variables in particular.

(c) The dispersion(the extent of variation)

(d) The fit with a theoretical distribution

(e) They tend in the data (time series)

6. Describing group of cases: To describe the group of cases one can depend on the measurement level of the variable. One of the following technique is applied:

· A cross table contains information on the number or percentage of cases in the various groups. Cross tables are used mainly for nominal and ordinal variables.

· For interval variables or the ratio variables the means command is used to request the statistics for each group such as the mean, the dispersion and the number of cases.

Testing the differences between independent groups:

SPSS can do several tests to determine whether independent groups differ significantly from each other. It is customary to distinguish between situations with two groups and three or more groups.

Testing differences between related groups:

Sometimes the cases in the different groups are not independent, but in some way related to each other.

Determining the relationship between two variables:

To use determining the two variables as follows:

· A cross table for nominal and ordinal variable, requested with the cross table command.

· A scatter plot in which one variable is plotted horizontal axis and other one on the vertical axis. Scatter plots are made with the Graphs Chart Builder command.

The extent to which two variables are related can also be expressed in the form of a statistic.

For more details you can visit our website at http://www.helpwithassignment.com/statistics-assignment-help and http://www.helpwiththesis.com

This article is in continuation with our previous articles on Statistics which include Hypothesis Testing, Regression, Correlation, SPSS Statistics Help

Friday, February 11, 2011

Understanding Central Tendency Properties (Mean, Median and Mode) in Statistics

In Statistics, Measures of Central Tendency are numerical values that locate, in some sense, the centre of a set of data. The term average is often associated with all measures of central tendency.

Mean
1. Measure of central tendency
2. Most common measure
3. Acts as ‘balance point’
4. Affected by extreme values (‘outliers’)
5. Formula (sample mean)

Raw Data: 10.3 4.9 8.9 11.7 6.3 7.7
X = ∑ x/n = x1 + x2 + x3 …..xn /n

Here in this case 10.3+ 4.9+ 8.9 + 11.7 +6.3 + 7.7/6 = 8.3
The mean is 8.3

Median
1. Measure of central tendency
2. Middle value in ordered sequence
• If n is odd, middle value of sequence
• If n is even, average of 2 middle values
3. Position of median in sequence
Positioning Point = n+1/2
4. Not affected by extreme values

Calculating Median from an Odd-sized example
• Raw Data: 24.1 22.6 21.5 23.7 22.6
• Ordered: 21.5 22.6 22.6 23.7 24.1
• Position: 1 2 3 4 5
Positioning Point = n+1/2 = 5+1/2 = 3
Median = 22.6
Median Example from an Even-Sized Sample
• Raw Data: 10.3 4.9 8.9 11.7 6.3 7.7
• Ordered: 4.9 6.3 7.7 8.9 10.3 11.7
• Position: 1 2 3 4 5 6
Positioning Point = n+1/2 = 6+1/2 = 3.5
Median = 7.7 + 8.9/2 = 8.3

Mode
1. Measure of central tendency
2. Value that occurs most often
3. Not affected by extreme values
4. May be no mode or several modes
5. May be used for quantitative or qualitative data

• No Mode
Raw Data: 10.3 4.9 8.9 11.7 6.3 7.7
• One Mode
Raw Data: 6.3 4.9 8.9 6.3 4.9 4.9
• More Than 1 Mode
Raw Data: 21 28 28 41 43 43

Say, if you’re a financial analyst for Prudential-Bache Securities. You have collected the following closing stock prices of new stock issues: 17, 16, 21, 18, 13, 16, 12, 11.
Describe the stock prices in terms of central tendency.

Central Tendency Solution
Mean
X = ∑x/n = 17 + 16 + 21 + 18 + 13 + 16 + 12 + 11/8 = 15.5
Median
• Raw Data: 17 16 21 18 13 16 12 11
• Ordered: 11 12 13 16 16 17 18 21
• Position: 1 2 3 4 5 6 7 8
Positioning Point = n+1/2 = 8+1/2 = 4.5
Median = 16+16/2 = 16
Mode
Raw Data: 17, 16, 21, 18, 13, 16, 12, 11
Mode = 16











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This article is in continuation with our previous article on Statistics (Regression), Statistics (Correlation), Statistics (Hypothesis Testing), Statistics Assignment help

Wednesday, February 9, 2011

Understanding Statistics for Business and Economics

Understanding Statistics for Business and Economics – by www.helpwithassignment.com Team

What Is Statistics?
Statistics includes
1. Collecting Data - e.g., Survey
2. Presenting Data - e.g., Charts & Tables
3. Characterizing Data - e.g., Average
The Application Areas of Statistics include



There are 2 important types of Statistical Methods namely
Descriptive Statistics – Involves Collecting Data, Presenting Data and Characterizing Data. The main purpose is to describe data


• Inferential Statistics – involves Estimation, Hypothesis and testing. The main purpose is to make decisions about population characteristics

At HelpWithAssignment.com we provide best quality Assignment help, Homework help, Online Tutoring and Thesis and Dissertation help as well. For any of the above services you can contact us at http://www.helpwithassignment.com/ and http://www.helpwithassignment.com/statistics-assignment-help

Thursday, February 3, 2011

Statistics at HelpWithAssignment.com (Hypothesis Testing)

Hypothesis is making an assumption. In Statistics, a Hypothesis or an assumption is taken first and then the Hypothesis is tested whether it is accurate or not. Hypothesis testing is a study based on statistical accuracy of an experiment. If the result is positive, then it is called statistically significant.
There are two types of statistical hypotheses. A Null Hypothesis and an Alternate Hypothesis. A Null Hypothesis is denoted by H0, it is actually an assumption that the simple observations are purely from chance.
Alternate Hypothesis on the other hand is denoted by H1 or Ha, assumes that that sample is influenced by a non-random cause.
An example for Hypothesis Testing.
Suppose that we want to test the hypothesis with a significance level of .05 that the climate has changed since industrialization. Suppose that the mean temperature throughout history is 50 degrees. During the last 40 years, the mean temperature has been 51 degrees and suppose the population standard deviation is 2 degrees. What can we conclude?
We have
H0: µ = 50 or the temperature is normal
H1: µ ≠50 or the temperature has changed
We compute the z score:
(51-50)/(2/√40) = 3.16
The table gives us 0.9992
So that p = (1 – 0.9992)(2) = 0.002
Since 0.002 <0.05 We can conclude that the Alternate Hypothesis is accepted and there has been a change in temperature.

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This article is in continuation with our previous articles on Statistics Regression and Statistics Correlation

Wednesday, February 2, 2011

Statistics at HelpWithAssignment.com (Regression)

Regression is an important concept in Statistics. Regression is used to measure the relation between two or more variables where one is independent and the others are dependant variables. Regression can be used to predict the dependant variable when the independent variable is known.
We can see an example to understand regression clearly.
Q: The regression line known as the least squares line is a plot of the expected value of the dependant variable of all values of the independent variable. In regression equation, y is always the dependant variable and x is always the independent variable.
The sales of a company (in million dollars) for each year are shown in the table below.
x (year) 2005 2006 2007 2008 2009
y (sales) 12 19 29 37 45

a) Find the least square regression line y = ax + b.
b) Use the least squares regression line as a model to estimate the sales of the company in 2012.
Sol: a) We first change the variable x into t such that t = x - 2005 and therefore t represents the number of years after 2005. Using t instead of x makes the numbers smaller and therefore manageable. The table of values becomes.
t (years after 2005) 0 1 2 3 4
y (sales) 12 19 29 37 45
a) We first change the variable x into t such that t = x - 2005 and therefore t represents the number of years after 2005. Using t instead of x makes the numbers smaller and therefore manageable. The table of values becomes.
t (years after 2005) 0 1 2 3 4
y (sales) 12 19 29 37 45
We now use the table to calculate a and b included in the least regression line formula.
t y ty t^2
0 12 0 0
1 19 19 1
2 29 58 4
3 37 111 9
4 45 180 16
Σx = 10 Σy = 142 Σxy = 368 Σx2 = 30

We now calculate a and b using the least square regression formulas for a and b.

a= (n∑t y-∑t∑y)/((n∑t^2-(∑t )^2)) =
(5×368-10×142)/((5×142-〖10〗^2)) = 8.4

b = 1/n(∑y-a∑x) = 1/5(142-8.4×10) = 11.6
b) In 2012, t = 2012 - 2005 = 7
The estimated sales in 2012 are: y = 8.4 × 7 + 11.6 = 70.4 million dollars.

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This article is in continuation with our previous article on Statistics Assignment help.

Statistics at HelpWithAssignment.com (Correlation)

In Statistics Correlation denotes the relation between to variables. If change in one variable is initiating change in the other variable then it is said that there is a correlation between them. There are two kinds of correlation. One is Positive Correlation and the other is Negative Correlation.
Positive Correlation is said to exist when a change in one variable is causing a positive change in the other variable as well then it is called Positive Correlation. For example, there is said to be a Positive Correlation between Income and spending. As income increases so is the purchasing power and spending.
Negative Correlation on the other hand is a positive change in one variable causes a negative change in the other variable. The best example for this is the demand theory in Economics. We all know that when price of a product increases then the demand of that product decreases and when the price of the product decreases then the demand increases.
The result of Correlation can only range between -1.00 and +1.00. If the answer is -1.00 then it is called perfect Negative Correlation and +1.00 denotes a perfect Positive Correlation. 0.00 denotes that there is no correlation at all.
Let us understand the process of Correlation with a good example.
The Mean of X and Y are calculated to be 4.7 and 79.9 respectively. The Standard Deviation of X and Y are calculated to be 2.1628 and 11.5706 respectively.
Now, the formula for Correlation Coefficient or Karl Pearsson Correlation (r) is

Here, we can observe that the ∑XY = 3939; N¯X ¯Y is the means of X and Y, calculated to be 4.7 and 79.9 respectively. Standard Deviation is denoted by Sx and Sy which are calculated to be 2.1628 and 11.5706. When we apply the values we get

r = (1/(10-1 ) (3939-10(4.7)(79.9) ))/((2.1628)(11.5706))
r = (1/(9 ) (3939-3755.3))/25.0249 = (1/(9 ) (183.7))/25.0249 = 20.4111/25.0249 =
0.8156 = 0.82

The Coefficient Determination = r2 = 0.822 = 0.67 or 67%.
Therefore, we can conclude that the score in exams is directly related to the number of hours studied to a significant extent. And we can say that there is a positive correlation between the Number of hours Studied and the Scores obtained in Exams.

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This article is in continuation with our previous articles on Statistics, Statistics Assignment help.

Wednesday, January 12, 2011

Understanding Analysis of Covariance (ANCOVA) – Statistics Assignment help by HelpwithAssignment.com

Similar to an ANOVA, ANCOVA examines the effect of an Independent on Dependent variable. The Independent variable is nominal (categorical) and Dependent variable is interval (continuous). In real life, there are many other variables that can affect the Dependent Variable such as Confounding Variables.

Hypothesis testing (ANCOVA)
• Null Hypothesis (Ho): There is no significant difference between treatment conditions in the Independent Variable on the Dependent Variable
• Ho: M1=M2=M3……=MK
• Alternative Hypothesis (Ha): There is significant difference between treatment conditions in the Independent Variable on the Dependent Variable
• Ha: Means are not equal
• M1=M2=M3……=MK =Means of the different groups

ANCOVA Assumptions
• Random Sample: There was no selection bias in forming the different groups.
• Normality: Assumes that here are no outliers in the performance of participants and skewness is near zero
• Homogeneity of variance (Levene’s test): the dependent variable must have equal variances. If Levene’s test is not significant, homogeneity of variances is met
• Independence Assumption: assumes that a particular person’s performance should not be influenced by confounds or other experimental groups.
• There is a linear relationship between the DV and covariates
• Covariate is reliable and measured without error

ANCOVA example
• A researcher is trying to investigate the effects of being in different academic programs (general, academic and vocational) on a students’ performance on the writing section of a standardized exam. The researcher uses the students’ performance on the reading section of a standardized exam as a covariate.

At Help With Assignment.com our experts in Statistics provide ANCOVA Assignment help, ANOVA assignment help, Correlation assignment help, Multiple Regression assignment help, Karl Pearson’s Coefficient assignment help, Random Variables assignment help, Distributions, Bayes’ Theorem, Binomial Distribution, Probability, Expectation Theory, Hypothesis Test, Central Limit Theory assignment help. All our tutors hold their Masters and Doctorates in Statistics from the Ivy League.

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This is in continuation with our previous Statistics article.

Wednesday, December 15, 2010

Statistics Assignment Help

Statistics is an important subject at the University level. The relevance of the subject can be seen in large Corporations where the subject is utilized extensively for collecting, processing and understanding data. Even in computer programs like MS Office, Open Office and Google Documents, the application of spreadsheet software like MS Excel, Google Spreadsheet many statistical applications are utilized. This shows the dependency on Statistics by large Corporations and Governments.

Statistics in Business is the Science of Decision Making In The Face Of Uncertainty.
Therefore a prior knowledge and expertise in Statistics will make the future managers of a Corporation more scientific and analytical in approach. The various disciplines in which statistics is applied would be in financial analysis, econometrics, auditing, production and operations including services improvement and marketing research.

Various topics and subtopics in statistics which are great importance in business are Time Series, Binomial and Normal Distributions, Test of Hypotheses, Linear Regression and Correlation.
The application of statistics can be found in business in many forms. One of the most utilized ways is to determine the emerging trends and develop a product in line with consumer preferences, testing of the products for compliance, forecast sales for the next five years, etc.

At Help With Assignment.com our experts in Statistics provide Correlation, Regression, Karl Pearson’s Coefficient, Random Variables, Distributions, Bayes’ Theorem, Binomial Distribution, Probability, Expectation Theory, Hypothesis Test, Central Limit Theory. All our tutors hold their Masters and Doctorates from the Ivy League.

For more details visit our website at www.helpwithassignment.com and www.helpwiththesis.com for further details. We provide assistance in subjects like Engineering, Math, Chemistry, Physics, Biology, Programming, Nursing, Chemical Engineering, Economics, Human Resources, Accounting, Statistics, Finance, Corporate Strategy, Marketing, Law, Political Science, Operations Management, Electrical Engineering, Electronics Engineering, Mechanical Engineering, Sociology, IT Security, Medical Science and Religion.