preface to fifteenth edition

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2.124 SECTION 2 The distribution of the t-statistic (x )s is symmetrical about zero and is a function of the degrees of freedom. Limits assigned to the distance on either side of are called confidence limits. The percentage probability that lies within this interval is called the confidence level. The level of significance or error probability (100 confidence level or 100 ) is the percent probability that will lie outside the confidence interval, and represents the chances of being incorrect in stating that lies within the confidence interval. Values of t are in Table 2.27 for any desired degrees of freedom and various confidence levels. An analytical procedure is often tested on materials of known composition. These materials may be pure substances, standard samples, or materials analyzed by some other more accurate method. Repeated determinations on a known material furnish data for both an estimate of the precision and a test for the presence of a constant error in the results. The standard deviation is found from Equation 12 (with the known composition replacing ). A calculated value for t (Eq. 14) in excess of the appropriate value in Table 2.27 is interpreted as evidence of the presence of a constant error at the indicated level of significance. TABLE 2.27 Percentile Values for Student t Distribution df t 0.995 t 0.99 t 0.975 t 0.95 t 0.90 t 0.80 t 0.75 t 0.70 t 0.60 t 0.55 1 63.66 31.82 12.71 6.31 3.08 1.376 1.000 0.727 0.325 0.158 2 9.92 6.96 4.30 2.92 1.89 1.061 0.816 0.617 0.289 0.142 3 5.84 4.54 3.18 2.35 1.64 0.978 0.765 0.584 0.277 0.137 4 4.60 3.75 2.78 2.13 1.53 0.941 0.741 0.569 0.271 0.134 5 4.03 3.36 2.57 2.02 1.48 0.920 0.727 0.559 0.267 0.132 6 3.71 3.14 2.45 1.94 1.44 0.906 0.718 0.553 0.265 0.131 7 3.50 3.00 2.36 1.90 1.42 0.896 0.711 0.549 0.263 0.130 8 3.36 2.90 2.31 1.86 1.40 0.889 0.706 0.546 0.262 0.130 9 3.25 2.82 2.26 1.83 1.38 0.883 0.703 0.543 0.261 0.129 10 3.17 2.76 2.23 1.81 1.37 0.879 0.700 0.542 0.260 0.129 11 3.11 2.72 2.20 1.80 1.36 0.876 0.697 0.540 0.260 0.129 12 3.06 2.68 2.18 1.78 1.36 0.873 0.695 0.539 0.259 0.128 13 3.01 2.65 2.16 1.77 1.35 0.870 0.694 0.538 0.259 0.128 14 2.98 2.62 2.14 1.76 1.34 0.868 0.692 0.537 0.258 0.128 15 2.95 2.60 2.13 1.75 1.34 0.866 0.691 0.536 0.258 0.128 16 2.92 2.58 2.12 1.75 1.34 0.865 0.690 0.535 0.258 0.128 17 2.90 2.57 2.11 1.74 1.33 0.863 0.689 0.534 0.257 0.128 18 2.88 2.55 2.10 1.73 1.33 0.862 0.688 0.534 0.257 0.127 19 2.86 2.54 2.09 1.73 1.33 0.861 0.688 0.533 0.257 0.127 20 2.84 2.53 2.09 1.72 1.32 0.860 0.687 0.533 0.257 0.127 21 2.83 2.52 2.08 1.72 1.32 0.859 0.686 0.532 0.257 0.127 22 2.82 2.51 2.07 1.72 1.32 0.858 0.686 0.532 0.256 0.127 23 2.81 2.50 2.07 1.71 1.32 0.858 0.685 0.532 0.256 0.127 24 2.80 2.49 2.06 1.71 1.32 0.857 0.685 0.531 0.256 0.127 25 2.79 2.48 2.06 1.71 1.32 0.856 0.684 0.531 0.256 0.127 26 2.78 2.48 2.06 1.71 1.32 0.856 0.684 0.531 0.256 0.127 27 2.77 2.47 2.05 1.70 1.31 0.855 0.684 0.531 0.256 0.127 28 2.76 2.47 2.05 1.70 1.31 0.855 0.683 0.530 0.256 0.127 29 2.76 2.46 2.04 1.70 1.31 0.854 0.683 0.530 0.256 0.127 30 2.75 2.46 2.04 1.70 1.31 0.854 0.683 0.530 0.256 0.127 40 2.70 2.42 2.02 1.68 1.30 0.851 0.681 0.529 0.255 0.126 60 2.66 2.39 2.00 1.67 1.30 0.848 0.679 0.527 0.254 0.126 120 2.62 2.36 2.98 1.66 1.29 0.845 0.677 0.526 0.254 0.126 2.58 2.33 1.96 1.645 1.28 0.842 0.674 0.524 0.253 0.126
GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.125 Example 7 A new method for the analysis of iron using pure FeO was replicated with five samples giving these results (in % Fe): 76.95, 77.02, 76.90, 77.20, and 77.50. Does a systematic error exist? From Equation 4, x is 77.11; and from Equation 5, s is 0.24 for 4 degrees of freedom. Because is not known, the Student t 0.975 (2.78 for 4 degrees of freedom) is used to calculate the confidence interval at the 95% probability level. ts (2.78) (0.24) x 77.11 77.11 0.30 pN p5 We used a two-tailed test. Upon rereading the problem, we realize that this was pure FeO whose iron content was 77.60% so that 77.60 and the confidence interval does not include the known value. Since the FeO was a standard, a one-tailed test should have been used since only random values would be expected to exceed 77.60%. Now the Student t value of 2.13 (for t 0.05 ) should have been used, and now the confidence interval becomes 77.11 0.23. A systematic error is presumed toexist. The t test can be applied to differences between pairs of observations. Perhaps only a single pair can be performed at one time, or possibly one wishes to compare two methods using samples of differing analytical content. It is still necessary that the two methods possess the same inherent standard deviation. An average difference d calculated, and individual deviations from d are used to evaluate the variance of the differences. Example 8 From the following data do the two methods actually give concordant results? Sample Method A Method B Difference 1 33.27 33.04 d 1 0.23 2 51.34 50.96 d 2 0.38 3 23.91 23.77 d 3 0.14 4 47.04 46.79 d 4 0.25 d 0.25 p (d d) 2 sd 0.099 N 1 0.25 t p4 1 4.30 0.099 From Table 2.27, t0.975 3.18 (at 95% probability) and t0.995 5.84 (at 99% probability). The difference between the two methods is probably significant. If the t-value falls short of the formal significance level, this is not to be interpreted as proving the absence of a systematic error. Perhaps the data were insufficient in precision or in number to establish the presence of a constant error. Especially when the calculated value for t is only slightly short of the tabulated value, some additional data may suffice to build up the evidence for a constant error (or the lack thereof).
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LANGE'S HANDBOOK OF CHEMISTRY John
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Grateful acknowledgment is hereby m
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PREFACE TO FIFTEENTH EDITION This n
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PREFACE TO FIFTEENTH EDITION ix inv
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xii PREFACE TO FOURTEENTH EDITION l
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PREFACE TO FIRST EDITION This book
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For the detailed contents of any se
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1.2 SECTION 1 is derived from the G
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1.4 SECTION 1 rather than methylide
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1.6 SECTION 1 Styrene Toluene Xylen
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1.8 SECTION 1 TABLE 1.2 Fused Polyc
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1.10 SECTION 1 1.1.1.6 Bridged Hydr
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1.12 SECTION 1 TABLE 1.4 Suffixes f
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1.14 SECTION 1 TABLE 1.5 Trivial Na
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1.16 SECTION 1 TABLE 1.6 Trivial Na
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1.18 SECTION 1 Selection of the pri
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1.20 SECTION 1 attached to one anot
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1.22 SECTION 1 When side chains of
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1.24 SECTION 1 heterocyclic structu
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1.26 SECTION 1 Bivalent radicals of
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1.28 SECTION 1 Complex linear polya
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1.30 SECTION 1 TABLE 1.11 Names of
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1.32 SECTION 1 hydroxyamino- to the
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1.34 SECTION 1 may be named (1) by
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1.36 SECTION 1 Examples are methyl
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1.38 SECTION 1 tuted acid, respecti
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1.40 SECTION 1 FIGURE 1.2 Newman pr
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1.42 SECTION 1 from the ring are kn
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1.44 SECTION 1 FIGURE 1.11 Two isom
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1.46 SECTION 1 Chiral Center. The c
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1.48 SECTION 1 FIGURE 1.15 Isomers
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1.50 SECTION 1 entries to bring tog
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1.52 SECTION 1 TABLE 1.13 Names and
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1.60 SECTION 1 TABLE 1.14 Empirical
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2.2 SECTION 2 2.3.6 Student’s Dis
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2.4 SECTION 2 TABLE 2.1 Fundamental
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2.6 SECTION 2 TABLE 2.1 Fundamental
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2.8 SECTION 2 TABLE 2.2 Physical an
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2.10 SECTION 2 TABLE 2.2 Physical a
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2.24 SECTION 2 TABLE 2.3 Mathematic
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2.26 SECTION 2 TABLE 2.6 Abbreviati
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2.36 SECTION 2 TABLE 2.7 Conversion
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2.54 SECTION 2 TABLE 2.8 Temperatur
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2.66 SECTION 2 2.1.1 Conversion of
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2.68 SECTION 2 Oleometer. A hydrome
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2.70 SECTION 2 Example 3. 25 1.2500
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2.72 SECTION 2 TABLE 2.9 Barometer
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Page 228 and 229: 3.2 SECTION 3 The alphabetical orde
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TABLE 3.2 Physical Constants of Ino
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3.62 SECTION 3 TABLE 3.3 Synonyms a
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SECTION 4 PROPERTIES OF ATOMS, RADI
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4.3 Fermium Fm 100 [Rn] 5f 12 7s 2
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Silver (argentum) Ag 47 [Kr] 4d 10
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PROPERTIES OF ATOMS,RADICALS,AND BO
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PROPERTIES OF ATOMS, RADICALS, AND
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SECTION 5 PHYSICAL PROPERTIES 5.1 S
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PHYSICAL PROPERTIES 5.3 5.1 SOLUBIL
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TABLE 5.1 Solubility of Gases in Wa
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TABLE 5.1 Solubility of Gases in Wa
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TABLE 5.2 Solubilities of Inorganic
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formateBa(CHO 2 ) 2 26.2 28.0 29.9
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(III) sulfateCe 2 (SO 4 ) 3 ·9H 2
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iodidePbI 2 0.044 0.056 0.069 0.090
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Nickel sulfateNiSO 4 ·6H 2 O (pale
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Praseodymium bromatePr(BrO 3 ) 3 55
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formate NaCHO 2 43.9 62.5 81.2 102
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Uranyl nitrate UO 2 (NO 3 ) 2 98 10
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PHYSICAL PROPERTIES 5.25 TABLE 5.3
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PHYSICAL PROPERTIES 5.57 5.3 BOILIN
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TABLE 5.12 Ternary Azeotropic Mixtu
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TABLE 5.12 Ternary Azeotropic Mixtu
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PHYSICAL PROPERTIES 5.83 5.4 FREEZI
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PHYSICAL PROPERTIES 5.87 5.5 DENSIT
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PHYSICAL PROPERTIES 5.89 dt Dt P
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PHYSICAL PROPERTIES 5.135 5.6.1 Ref
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PHYSICAL PROPERTIES 5.137 where the
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PHYSICAL PROPERTIES 5.139 5.7 COMBU
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Temperature, C Substance 40 20 0 20
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PHYSICAL PROPERTIES 5.171 This equa
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SECTION 6 THERMODYNAMIC PROPERTIES
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THERMODYNAMICPROPERTIES 6.3 6.1.1.2
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THERMODYNAMICPROPERTIES 6.5 A gener
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THERMODYNAMICPROPERTIES 6.7 TABLE 6
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THERMODYNAMICPROPERTIES 6.9 TABLE 6
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THERMODYNAMICPROPERTIES 6.11 TABLE
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THERMODYNAMIC PROPERTIES 6.21 TABLE
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THERMODYNAMIC PROPERTIES 6.101 TABL
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THERMODYNAMIC PROPERTIES 6.143 The
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SECTION 7 SPECTROSCOPY 7.1 X-RAY ME
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SPECTROSCOPY 7.3 TABLE 7.1 Waveleng
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SPECTROSCOPY 7.9 TABLE 7.3 Critical
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SPECTROSCOPY 7.11 TABLE 7.4 X-Ray E
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SPECTROSCOPY 7.13 Emission line K 1
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SPECTROSCOPY 7.15 TABLE 7.7 Analyzi
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SPECTROSCOPY 7.17 TABLE 7.8 Mass Ab
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SPECTROSCOPY 7.19 TABLE 7.9 Electro
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SPECTROSCOPY 7.21 TABLE 7.11 Absorp
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SPECTROSCOPY 7.23 TABLE 7.13 Solven
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SPECTROSCOPY 7.25 7.3 FLUORESCENCE
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SPECTROSCOPY 7.27 TABLE 7.16 Fluore
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SPECTROSCOPY 7.29 TABLE 7.18 Detect
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SPECTROSCOPY 7.35 TABLE 7.19 Sensit
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SPECTROSCOPY 7.37 TABLE 7.19 Sensit
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SPECTROSCOPY 7.39 In terms of m ,
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SPECTROSCOPY 7.41 The ionization co
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SPECTROSCOPY 7.67 TABLE 7.28 Infrar
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7.69
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SPECTROSCOPY 7.71 7.6 RAMAN SPECTRO
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SPECTROSCOPY 7.73 TABLE 7.30 Raman
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SPECTROSCOPY 7.89 7.7 NUCLEAR MAGNE
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SPECTROSCOPY 7.91 TABLE 7.41 Nuclea
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SPECTROSCOPY 7.93 TABLE 7.42 Proton
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SPECTROSCOPY 7.95 TABLE 7.44 Estima
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SPECTROSCOPY 7.97 TABLE 7.46 Proton
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SPECTROSCOPY 7.99 TABLE 7.48 Solven
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SPECTROSCOPY 7.101 TABLE 7.49 Carbo
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SPECTROSCOPY 7.103 TABLE 7.51 Effec
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SPECTROSCOPY 7.107 TABLE 7.56 One-B
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SPECTROSCOPY 7.113 TABLE 7.63 Nitro
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SPECTROSCOPY 7.115 TABLE 7.64 Nitro
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SPECTROSCOPY 7.117 TABLE 7.69 Fluor
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SPECTROSCOPY 7.119 TABLE 7.72 Silic
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SPECTROSCOPY 7.121 TABLE 7.73 Phosp
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SPECTROSCOPY 7.123 TABLE 7.74 Phosp
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SPECTROSCOPY 7.125 when z 3 and y
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SPECTROSCOPY 7.127 Masses 19 and 31
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SPECTROSCOPY 7.129 TABLE 7.76 Conde
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SECTION 8 ELECTROLYTES, ELECTROMOTI
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ELECTROLYTES, EMF, AND CHEMICAL EQU
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TABLE 8.7 Proton Transfer Reactions
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TABLE 8.7 Proton Transfer Reactions
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TABLE 8.9 Selected Equilibrium Cons
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8.75 3-tert-Butylbenzoic acid (0) 4
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4-Hydroxyproline (1) 1.900 1C 1.850
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N-Propionylglycine (1) 3.728 3.723
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TABLE 8.14 National Bureau of Stand
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1 part 0.1% neutral red in alc. * V
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3,3-Dimethoxybenzidine dihydrochlor
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TABLE 8.35 Equivalent Conductivitie
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KCl 127.3 124.4 122.4 115.8 112.0 1
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NaIO 3 75.2 72.6 70.9 64.4 60.5 1
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9.2 SECTION 9 9.1 LINEAR FREE ENERG
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9.4 SECTION 9 TABLE 9.1 Hammett and
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9.6 SECTION 9 TABLE 9.1 Hammett and
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9.8 SECTION 9 TABLE 9.3 pK a and Rh
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10.2 SECTION 10 10.4.6 Polyacrylate
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10.4 SECTION 10 10.2 ADDITIVES TO P
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10.6 SECTION 10 injection molding.
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10.8 SECTION 10 10.3 FORMULAS AND K
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10.10 SECTION 10 Key properties of
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10.12 SECTION 10 10.3.8 Fluorocarbo
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10.14 SECTION 10 10.3.11 Phenolics
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10.16 SECTION 10 The resin has the
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10.18 SECTION 10 10.3.19 Polyuretha
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10.20 SECTION 10 10.3.22 Sulfones B
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TABLE 10.2 Properties of Commercial
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10.58 SECTION 10 10.4 FORMULAS AND
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10.60 SECTION 10 10.4.8 Polychlorop
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10.62 SECTION 10 Styrene-butadiene
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10.5 CHEMICAL RESISTANCE TABLE 10.4
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10.6 GAS PERMEABILITY TABLE 10.5 Ga
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TABLE 10.5 Gas Permeability Constan
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TABLE 10.7 Constants ofFats and Oil
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TABLE 10.8 Constants ofWaxes Wax Me
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SECTION 11 PRACTICAL LABORATORY INF
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11.4 SECTION 11 TABLE 11.2 Molecula
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11.6 SECTION 11 A saturated aqueous
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11.8 SECTION 11 TABLE 11.6 Relative
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11.10 SECTION 11 11.3 BOILING POINT
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11.12 SECTION 11 TABLE 11.8 Organic
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11.14 SECTION 11 TABLE 11.9 Molecul
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11.4 SEPARATION METHODS TABLE 11.11
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11.18 SECTION 11 TABLE 11.12 Solven
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11.20 SECTION 11 TABLE 11.12 Solven
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TABLE 11.13 McReynolds’ Constants
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TABLE 11.13 McReynolds’ Constants
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11.26 SECTION 11 11.4.1 McReynolds
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11.28 SECTION 11 11.4.2.2 Partition
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11.30 SECTION 11 FIGURE 11.2 Band a
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11.32 SECTION 11 11.4.3 Ion-Exchang
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11.34 SECTION 11 TABLE 11.16 Guide
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11.36 SECTION 11 TABLE 11.16 Guide
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11.38 SECTION 11 TABLE 11.18 Relati
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11.40 SECTION 11 distribution coeff
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11.42 SECTION 11 TABLE 11.19 Gravim
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11.68 SECTION 11 TABLE 11.20 Elemen
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11.70 SECTION 11 TABLE 11.22 Common
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11.72 SECTION 11 TABLE 11.25 Tolera
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11.74 SECTION 11 TABLE 11.26 Heatin
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11.76 SECTION 11 TABLE 11.28 Titrim
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11.84 SECTION 11 appears becomes le
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11.86 SECTION 11 TABLE 11.29 Equati
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11.88 SECTION 11 TABLE 11.29 Equati
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11.90 SECTION 11 The more stable th
Page 1183 and 1184:
11.92 SECTION 11 11.6.6.2.5 Buffer
Page 1185 and 1186:
11.94 SECTION 11 TABLE 11.30 Standa
Page 1187 and 1188:
TABLE 11.32 Properties and Applicat
Page 1189 and 1190:
11.98 SECTION 11 TABLE 11.36 Maskin
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11.100 SECTION 11 TABLE 11.37 Anion
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11.102 SECTION 11 TABLE 11.39 Amino
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11.104 SECTION 11 TABLE 11.44 Facto
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11.106 SECTION 11 11.7 LABORATORY S
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11.108 SECTION 11 TABLE 11.48 Stand
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11.110 SECTION 11 Alizarin yellow G
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11.112 SECTION 11 Bromchlorophenol
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11.114 SECTION 11 p-Ethoxychrysoidi
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11.116 SECTION 11 Mercurous nitrate
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11.118 SECTION 11 Potassium carbona
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11.120 SECTION 11 until the ammoniu
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11.122 SECTION 11 TABLE 11.49 TLV C
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11.130 SECTION 11 TABLE 11.50 Chemi
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Page 1229 and 1230:
11.138 SECTION 11 of water which is
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TABLE 11.55 Thermoelectric Values i
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TABLE 11.56 Type B Thermocouples: P
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TABLE 11.58 Type J Thermocouples: I
Page 1237 and 1238:
TABLE 11.60 Type N Thermocouples: N
Page 1239 and 1240:
TABLE 11.62 Type S Thermocouples: P
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11.150 SECTION 11 11.11 CORRECTION
Page 1243 and 1244:
Index Terms Links 2 Acid-base indic
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Index Terms Links 4 Alkynes, nomenc
Page 1247 and 1248:
Index Terms Links 6 Aurintricarboxy
Page 1249 and 1250:
Index Terms Links 8 Boron-11 chemic
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Index Terms Links 10 Cellulose acet
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Index Terms Links 12 Collective ino
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Index Terms Links 14 Degree Fahrenh
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Index Terms Links 16 Electrical res
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Index Terms Links 18 Equivalent wei
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Index Terms Links 20 Fluorocarbon p
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Index Terms Links 22 Halogenated hy
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Index Terms Links 24 Impact strengt
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Index Terms Links 26 Kα 1 lines, m
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Index Terms Links 28 Melmine phenol
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Index Terms Links 30 Neon-neon bond
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Index Terms Links 32 One-tailed tes
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Index Terms Links 34 Physical chemi
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Index Terms Links 36 Polyolefin the
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Index Terms Links 38 Pyridine: bina
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Index Terms Links 40 Rho values: fo
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Index Terms Links 42 Single-bond ra
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Index Terms Links 44 Stereoisomers
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Index Terms Links 46 Tension, aqueo
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Index Terms Links 48 Triethylenetet
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Index Terms Links 50 Water (Cont.)
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