A parameter is considered essential in all areas, it is a well-marked indicative to be able to evaluate or assess a particular situation. For example, based on a parameter, a certain circumstance can be understood or placed in perspective for its understanding or classification. In the field or branch of computer programming, the use of this term (parameter) is; widely used to refer to an intrinsic property of a procedure.
The definition of a parameter can be a bit complicated, since it is a piece of information considered as something indicative and essential because with it evaluations, assessments and even conclusions of a certain situation are carried out. It is from this reference that the things that are being investigated can be understood from a specific perspective. An example of the definition of a parameter is the following: "The investigation is being carried out, however, there is no specific parameter to clarify the facts." With this it is clear that without this factor, no conflict can be resolved.
What is a statistical parameter
Table of Contents
In the previous section, we talked a bit about what a parameter is and how that word can be included in regular conversations, now is the time to mention everything related to the statistical parameter and what is the difference in the meaning of the parameter that was mentioned previously. When it comes to statistics, this reference refers to a number that manages to summarize a considerable amount of data obtained from the statistical variables calculated. To calculate this number, an arithmetic formula is needed, the latter is obtained by calculating the data of the population under study.
The imperative goal of statistics is to develop a realistic model, because of this, statistical data becomes a consequence that cannot be avoided. Parameters in mathematics and in any of its branches are essential to maintain order in the data obtained from each calculation, even more so if these references are the result of studies in a specific community. Taking this into account, this factor, in addition to providing a generalized idea of the global population, enables a comparative analysis to make different estimates on the model of reality that is intended to be created.
Now, like all science, study or calculation, this data needs a series of rules in order to function correctly and not be confused with any other mathematical analysis. Without these rules, all the calculation obtained would be completely wrong and it would not be in front of a statistical parameter.
Rules of a statistical parameter
Each numerical reference must have certain rules to be applicable, one of them is that it does not need ambiguities for its calculation, it only takes a good arithmetic formula to achieve it. No vital observation of the study should be ignored, that is, the data has a very general character and everything is important. It can be interpreted, its calculation can be easily manipulated with algebra and, finally, the data can become sensitive to fluctuations in the samples, this means that the statistical samples can vary and that these have an influence on the parameters..
Types of statistical parameters
Just as these data exist, there are also their types and the correct ways to identify and apply them, the first is the position parameter, which is responsible for identifying the total value in which the data to be calculated is grouped, that is,, find the value that orders and represents them. This type of reference is divided into two aspects: measures of central tendency and measures of non-central tendency, points will be explained later. Unlike what was explained in the previous section, these data do not necessarily have to coincide with the results of the variable.
Nor can it be used with a generic character to make forecasts. The use of the different parameters is up to the subject. The second slope is that of dispersion. This takes into account the extent to which all the data obtained is grouped around the central value of the calculation. This aspect is classified in two more aspects, absolute dispersion and relative dispersion, in the first one the company needs a disposition data and does not include comparisons between the samples obtained. In the second, we talk about dimensionless measurements and in them if comparisons can be made.
The kurtosis coefficient, also known as pointing, seeks to find the measures of how the relative repetitions of the data are distributed between the extremes and the center. The Gaussian bell is part of the point of comparison between all the references found. The kurtosis has 3 very important categories, these are mesocúrtic distribution, also known as normal aiming, leptokurtic distribution, represented by the positive aiming and, finally, platicurtic distribution, which refers to a negative aiming. Together they make sense of kurtosis as a characteristic of the shape parameter.
The asymmetry coefficient is based on allowing the discovery of the data and if they are ordered symmetrically according to their central value, which is generally an asymmetric measure. In order to know the degree of asymmetry of these data, the calculation of the coefficient of asymmetry is imperative. The data provided is symmetric according to the mean, however, the sum of all the cubes of deviations according to the same mean must be null. If a positive skew is sought, the mean should be to the right of the median.
Then, graphically, a histogram with an L shape and its direct termination on the right will be obtained. Finally, to obtain a negative skewness, the mean has to be indisputably lower than the median and the histogram will be conclusively J-shaped with the ending to the left.
Examples of statistical parameters
If some samples are taken from a perfectly distributed community, the mean of that test is a direct statistic. The value that this sample represents is an estimate of the mean of that population, this is called the population parameter. If other samples are taken, that value will change randomly and its probability distribution will be based on the test in question. This distribution will represent all the data obtained and if the main community is normal, the distribution of that sample must also be normal. Each step is complemented by the next.
Elements of a statistical parameter
Just as these data have rules and types, they also have a series of essential elements to obtain certain values of a certain population, these elements are distributed in average, the mode and the median, all three are part of the measures of central tendency. However, there are also measures of non-central tendency that are made up of quartiles, deciles and percentiles. To cover all this content, each of the elements is broken down, so that everything related to them can be fully understood.
Average
It is the arithmetic mean and it is known for being quite widespread, it has a series of properties or elements, these are related to the simplicity of its calculation due to the intervention of all the data, it is interpreted as a center of mass or base of equilibrium of the given set of data being calculated. It also manages to minimize any quadratic deviation from the references and is susceptible to scale and origin changes. It is also susceptible when the values of the variable are extremely extreme.
Fashion
It is a fairly repeated reference and the value of its variable has an absolute frequency, that is why it bears the fashionable name, because in itself, it is what is most popular. Calculating the mode is really easy, since it only takes a count to find the corresponding data. The properties of fashion are simple interpretation and calculation, it depends on the frequencies and thanks to that it can calculate qualitative variables, although there are larger data, its value is independent, that makes fashion an element susceptible to sample variations.
Median
You are facing the median when at least half of the data obtained has a variable value well below itself, only when the values are kept in an order from lowest to highest. One of the examples of statistical parameters is the calculation of the median of a family, the method is simple, only the central value must be located. The qualities or properties of the median refer to the almost non-existent affectation by dispersion and the non-susceptibility that the mean presents oscillations motivated to the values of its variable.
Non-central position measurements
These are nothing more than values that fall far below each other in certain amounts of data. It is a more general point of the concept of median that has been provided previously, since it only leaves below 50% of the distribution of the data, while the quantiles do so by any percentage. To differentiate quartiles, deciles and percentiles, the parts into which they are divided are taken into account. The quartiles are divided into 4 parts, the deciles into 10 and the percentiles into one hundred.
Application of parameters
The parameters can be applied in different areas, either in numerical matters or by the simple use of the word in regular conversations. This section will mention some of the areas in which parameters are used, what their applications are like and how to identify whether or not you are dealing with a parameter synonym. It must be remembered that, according to the branch or science that refers, these data can be called in different ways.
Computer parameters
When it comes to computing, these data are known as arguments and they are variables that are used to receive the input values of a given routine, method or subroutine. The invoking routines will be the method of sending these values. The subroutine, on the other hand, takes all the values that have been assigned to its data in order to alter its behavior at runtime.
Network parameters
This is what is known as the permanent distance between unit cells according to the crystalline structure they have. Networks have 3 parameters, which are represented in a, b and c, but there is a special element in cubic networks and that is that for them, all the data are certainly the same, therefore, the correct way to refer to them is through the to. Regarding hexagonal crystal lattices, data a and b are considered identical, in this sense, only a and c are taken into account.
Population parameter
It is nothing more than the true value of the mean of a given population. When the dominant characteristics of this population are unknown, the values can be calculated from the samples.
In all these areas some type of parameter synonym is found to locate or identify them as the case may be, for example, data, references, indicators, measures or factors.
