Selected 13 bales are analyzed using different fiber maturity measuring methods (New FIAS, AFIS, and Cottonscope). Maturity distributions of the bales 3097, 3142, and 3051 reported by three methods are shown in Figure 3, Figure 4, and Figure 5 respectively. Even though same bales were used for comparing the maturity distributions, a distinct difference is observed between the maturity distributions. The shape of the New FIAS maturity distributions are similar with the distributions from the AFIS however, are deviated more towards the left side. Similarly, the distributions from the Cottonscope are different with the distributions from the New FIAS and have deviated towards the right side. The distributions from the New FIAS and AFIS are relatively peaked compared to the distributions from the Cottonscope.
Means and skewness values of the distributions are calculated and provided in the
Table 1. Skewness is calculated to determine the symmetry of the distributions. We can observe that for the same bale different methods provide different means and skewness values. The mean values reported by the New FIAS are consistently lower than the mean values reported by the AFIS and Cottonscope. Similarly, the maturity distributions obtained by the New FIAS are positively skewed, whereas the distributions from the AFIS and Cottonscope skewed from positive to negative. The AFIS showed a narrower range of skewness values, whereas the New FIAS and Cottonscope showed a wider range of the
The theoretical yield for the product is a necessary component in finding percent yield, and Eq. 2 and Calculation 2 demonstrate how it was found.
To find the coefficient of skewness (a measure of the degree of skewness), the mean, mode and standard deviation was needed. Due to the large data size, a computer program was used to obtain the necessary information. The data set was inserted into the program (One Variable Analysis by Haese and Harris Publications) which then analysed it and produce the required result. The information collected is displayed below with the result for the mean rounded to 87 from 86.964 and the standard deviation to 8.2 from 8.2375. This was done for convenience however it did reduce the precision of the
The binomial model is used to see how the state variable evolves over time, specifically over a time period of 12 months (see Exhibit 1). The maturity or expiration date of the sequel rights option is set for 12 months. Within the first year, Arundel Partners will know whether it will want to exercise the sequel rights. We build the binomial tree for the net inflow values using the Cox-Ingersoll-Ross model. This approach approximates a lognormal distribution for the asset values (net inflow values). We assume that continuously compounded returns on the asset are normally distributed and volatility remains constant. We use the expiration date as one year from the purchase of the sequel rights and the time interval of 1/12 (1 month). We use the standard deviation on the one year return of the portfolio as an estimate
The lab uses the measurements of a wooden dowel in length and diameter to collect data in order to interpret data in report form. The data is used to produce statistical data and how to correctly present it. A ruler and micrometer were used to measure the dimensions. Spreadsheets are then constructed in order to generate standard deviation, mean, median, mode, frequency, as well as variation of length, diameter, volume, and cross sectional area of the
Statistics are commonly used in manufacturing processes to control and maintain quality. This activity will allow you to apply statistics in order to analyze and determine the quality of a set of wooded cubes.
10. Identify whether these distributions are negatively skewed, positively skewed, or not skewed at all, and why.
Slide 16: This curve demonstrates a one-tail hypothesis with the critical region representing 5% showing a positive relationship.
Statistical results of the data analysis have been received by using the Gauss curve, as preferred distribution function, and the
Iterations of analysis eliminated data points that were listed as “unusual observations,” or any data point with a large standardized residual. After 5 iterations, the analysis showed improved residual plots. Randomness in the versus fits and versus order plots means that the linear regression model is appropriate for the data; a straight line in the normal probability plot illustrates the linearity of the data, and a bell shaped curve in the histogram illustrates the normality of the data.
Therefore, the arithmetic mean is not useful for evaluating distributions. Conversely, the expected value 14.69 calculated above is an average possible outcome and is weighted by probability, and is a more accurate tool in evaluating
Compute Benetton’s margin of safety using data from 2003 and 2004. Why do your answers for the two years differ?
___IV. Practical Aspects - This book provides detailed descriptions on tests including specific data for purpose
Some similarities between the box and whisker plots is that the lower extreme are only one mature glowbug away from the each other. The second similarity is the two box and whisker plots are also one mature glowbug away from the lower quartile. The first difference between the two is the glowbugs from wild bore acres are more spread out with a higher upper extreme and smaller lower extreme. Furthermore, the median and upper quartile for the glowbugs from wild bore acres box and whisker plot is also larger than the glowbugs from reindeer farms. The histogram and frequency polygon graph differ from the box and whisker plots created. For instance, there appears to be less data used in the histogram and frequency polygon because frequency distribution
The data set seems to have many outliers and what is more the Q1 and Q3 – the quartiles are of a different distance from the median, which makes the whole distribution unsymmetrical. What is more, the whiskers are of a different length except for plasticizer manufacturing, which is generally the most symmetrical one, and is the closest to the
In this section we show how Genzyme went about their analysis and what values they used for certain variables. These numbers were generally found by settling somewhere near the average of the range provided by market research.