Ordinal scaled values

Ordinal scaled values, for example, sensory data, such as different degrees of sweetness of a raspberry jam, in the sense of a ranking order. 

Speciation of plutonium leached from the glass cubes is shown in Figure 1. The first bar represents the total amount of insoluble plutonium and is the summation of suspended plutonium (the difference between the values for filtered and unfiltered waters) and sorbed plutonium—viz., the amount removed from the cubes by a 0.1 M perchloric acid wash, normalized to the volumes of leachant solutions so that it is comparable to the other values in the graphs. For simplicity, the insoluble fractions are combined in one bar, whereas the various oxidation states in the soluble fraction are represented by separate bars. It should be noted that the ordinate scale varies among the graphs. 

Relative primary productivity, POC fluxes at 105 and 3000 m, and POC sediment accumulation rates versus latitude in the central equatorial Pacific Ocean. Data are normalized to the maximum value in each transect. Survey 1 was conducted during February-March 1992 under El Nino conditions and Survey 2 from August to September 1992 under non-El Nino conditions at longitudes ranging from 135 to 140°W. Ordinate scale is reset to 1.0 at each maximum, and the absolute magnitude (mmolCm ij-i) of each parameter is given next to its maximum. Source-. From Flernes, P. J., et al. (2001). Deep-Sea Research I 48, 1999-2023. 

Fig. 7 pH-rate profiles for the enolization of 2,4-cyclohexadienone (upper curve) and for the reverse ketonization reaction (lower curve). Note that ordinate scale is shifted upward by 6.5 units for log(fc) values below 3.44... 

The geometric presentation of Eq. (2.13) is in Fig. 2.4. The desirability scale values are inserted on the ordinate from 0 to 1. The response values of the coded dimension (y ) are on the abscissa. The beginning of the abscissa or its null is the exact point to which the ordinate 0.37 corresponds. It should be noted that the point with... 

Ordinal scale - measurements using classifications with a natural sequence (lowest to highest), but with undefined intervals. Values are discontinuous. 

There is no absolute case that parametric methods cannot be used with ordinal scale data. If the scoring system allows a reasonably wide range of possible values and if these happen to approximate a normal distribution, parametric methods could be used. However the reality of working with ordinal data is ... 

To test for a relationship between educational level and amount gleaned from the leaflet, we need some from of correlation analysis. Both characteristics are assessed on ordinal scales with a very limited range of possible values, so we would probably use non-parametric Spearman correlation. 

Oral cavity, 125 Ordinate scale, 17 Ordinate value, 17 Organic composition of condensation nuclei, 240-241 Orr, C., 52, 172, 247 Osmotic coefficients, 243 Osmotic pressure, 134 Ottewill, R. H., 264 Oxidation process, 2, 331 Oxygen ... 

Although the value of the coefficient 1.16 in (20) does not have as direct a physical significance as the a-exponent in the extended Brpnsted equation (19) because the reaction, solvents and temperature are different, there is still a good linear rate-equilibrium relationship for benzhydryl carbocation formation the overall correlation embraces clearly concave partial correlations with varying slopes for the respective Y series. The whole pattern of substituent effects, pXr vs should be essentially identical (with only the ordinate scale being slightly different) to that of log (/ xy/Z hh) vs 2 a for the solvolyses shown in Fig. 8. 

An index based on the sum or average of bioassay end-points is the simplest to devise. In some instances it may be desirable to combine tests of acute lethality with sublethal tests in order to include a spectrum of organisms and/or responses. Indices are easier to construct if toxicity end-points are first translated into toxic units. The numerical values then can be summed like the chemical properties of a sample. An alternative would be to classify results on an ordinal scale (e.g. 0-10) based on the observed severity of effect. The approach is more subjective, but at least it incorporates expert judgement that should enter the assessment of data at some point. A ranking scale allows any kind of environmental measurement to be included in the index. 

Tables are the ideal method for describing qualitative data sets, and several examples are shown in Section 7.3. Such tables present the actual numbers or frequencies in each of the categories, often with percentages. Tables of this sort are also useful for ordinal data if there are relatively few categories or scale values. With quantitative data, or ordinal data in which there are many categories or scale values, data can be grouped into class intervals so that a tabular presentation can be made.

This scale is best defined as one in which an ordering of values can be assigned. Examples of data from clinical studies measured on an ordinal scale include severity of an adverse event classified as mild, moderate, or severe age categorized as < 65, 65-70, 71-75, and > 75 years. The ordinal nature of the measurement scales means that we can say that a mild headache is less severe than a moderate headache, which is less severe than a severe headache. However, we cannot say that the difference between mild and moderate is the same as the difference between moderate and severe. 

Fig. 64. Coverage 0(f) plotted versus lime f (measured in Monte Carlo steps (MCS)Zsite, where in one time unit on the average one evaporation or condensation event per lattice site is attempted, for the same model as shown in fig. 62. Case (a) refers to T — 2,25 and five choices of the chemical potential difference = —1.4 (O), —0.25 (+), —0.06 ( ), —0.02 x) and —0.004 ( ). Case (b) refers to /// — —0.02 and two temperatures, T — 2.25 (O) and 3.5 +). Case (c) refers to jj," = -0.06 and temperatures 7 = 2.0 ( ), 2.2 ( ), 2.3 (y). 2.5 ( ), 3.0 (+) and 3.5 (o). Thin dashed lines at the right-hand side mark equilibrium values. Note that the ordinate scale is linear while the abscissa scale is logarithmic, implying that straight lines on the plot give evidence for 0(i) oc Inf. From Patrykiejew and Binder (1992).

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