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1.1 ! root 1: .EQ ! 2: delim $$ ! 3: .EN ! 4: .SH ! 5: 7K. A 2-section example ! 6: .PP ! 7: Let us turn back to suspended deposits as given in exhibit 8. ! 8: We need something like logs to make the sizes of residuals ! 9: about the same. Exhibit ! 10: .B ! 11: 32 ! 12: .R ! 13: lists the 3R smooth of the logs, and its rough, ! 14: and gives the stem-and-leaf and modified letter ! 15: values -- both for residuals and for their SIZES -- ! 16: doing this first for all years ! 17: and then for two groups of years. Clearly, ! 18: the residuals are bigger for the second group of years, ! 19: the comparison being ! 20: .KS ! 21: .in 1i ! 22: .TS ! 23: box; ! 24: c c s c s ! 25: c c c c c ! 26: n n n n n . ! 27: Spreads Sizes ! 28: *Hspr *Espr *M *H ! 29: 1921-44 19h 50 8 23h ! 30: 1948-67 53 97 34 80 ! 31: .TE ! 32: .in 0 ! 33: .KE ! 34: The apparent ratio of sizes varies from 2:1 to 4:1. ! 35: .PP ! 36: Exhibit ! 37: .B ! 38: 33 ! 39: .R ! 40: shows the corresponding plot, with the rough ! 41: supporting the smooth. Here we have used two lengths of ! 42: bars, one for each group of years. The result is quite effective. ! 43: .ce ! 44: * review questions for 7K * ! 45: .PP ! 46: What did we take as an example? How many sections ! 47: seemed needed? How did the sizes behave? ! 48: .ls 1 ! 49: .ce 4 ! 50: exhibit 32 of chapter 7+ -- suspended depostis ! 51: .br ! 52: The 3R smooth of the logs of suspended deposits and ! 53: .br ! 54: the corresponding residuals ! 55: .br ! 56: (deposits in 100 log of millions of dollars) ! 57: .LP ! 58: A) The SMOOTH and the ROUGH ! 59: .KS ! 60: .TS ! 61: allbox; ! 62: c c c c c c c ! 63: c c c c c c c ! 64: n r l n n n n . ! 65: Susp. ! 66: Date deposits 3R Rough Size F G ! 67: ! 68: 1951 49 15 34 34 ! 69: 2 15 49,46 -31 31 ! 70: 3 165 46,49 116 116 F G ! 71: 4 46 81 -35 35 ! 72: 55 81 81 z ! 73: 6 108 108 z ! 74: 7 111 108 3 3 ! 75: 8 80 80 z ! 76: 9 30 80 -50 50 F ! 77: 60 90 88 2 2 ! 78: 1 88 88 z ! 79: 2 88 88 -80 80 F ! 80: 3 136 134 2 2 ! 81: 4 134 136,134 z ! 82: 65 165 134 31 31 ! 83: 6 -15 107 -122 122 F ! 84: 7 107 107 z ! 85: .TE ! 86: .KE ! 87: .nf ! 88: L = "lower still" entered as the log of zero ! 89: G = "F" for analysis of panel E ! 90: .fi ! 91: .LP ! 92: B) STEM-and-LEAF for ALL residuals ! 93: .KS ! 94: .TS ! 95: n l . ! 96: _ ! 97: 3 H|(71,H,116)((?)) ! 98: _ ! 99: 4 5|6 ! 100: _ ! 101: 5 4|2 ! 102: _ ! 103: 8 3|041 ! 104: 2| ! 105: _ ! 106: 10 1|47 ! 107: _ ! 108: 14 0|9322 ! 109: _ ! 110: 19 Z|0000000000000000000 ! 111: _ ! 112: 12 -0|4584 ! 113: _ ! 114: 8 -1|5 ! 115: -2| ! 116: _ ! 117: 7 -3|415 ! 118: -4| ! 119: _ ! 120: 4 -5|0 ! 121: _ ! 122: 3 L|(L,3,-80,-122)((?)) ! 123: _ ! 124: .TE ! 125: .KE ! 126: .LP ! 127: C) *LETTER VALUES WITHOUT and WITH ?'s for ALL residuals ! 128: .KS ! 129: .TS ! 130: box; ! 131: c c s s c c s s ! 132: n n n n n n n n . ! 133: *#35h (zeroes/2,no?) #37h (zeroes/2,yes?) ! 134: = ! 135: *M18 0 M19 (18) 0 ! 136: *H 9h 15h -11h H10 (9) 17 -8 ! 137: *E 5 42 -35 E 5h(4h) 49 -42 ! 138: .TE ! 139: .KE ! 140: .KS ! 141: .TS ! 142: c c s s c c s s ! 143: l l l l l l l l . ! 144: 27 gives 40h 25 gives 37h ! 145: F 56 -52 F 54h -45h ! 146: FF 96h -92h FF 92 -83 ! 147: .TE ! 148: .KE ! 149: .KS ! 150: .TS ! 151: allbox; ! 152: c c c c ! 153: r r r r . ! 154: ! 155: outside: 71,116,H outside: 56,71,116,H,? ! 156: and: -80,-122,L and: -50,-80,-122,L,? ! 157: far-out: 116,H,-122,L far-out: 116,H,?,-122,L,? ! 158: .TE ! 159: .KE ! 160: .sp ! 161: Note that counts in (B) omit ?'s, hence the change ! 162: when ?'s are no longer omitted. ! 163: .LP ! 164: D) STEM-and-LEAF and *-LETTER VALUE for SIZES of ALL RESIDUALS ! 165: .KS ! 166: .TS ! 167: allbox; ! 168: c c ! 169: n l . ! 170: Left Right ! 171: = ! 172: 8 H|(71,116,H,80,122,L,?,?) ! 173: 10 5|06 ! 174: 11 4|2 ! 175: 17 3|011445 ! 176: 20 1|457 ! 177: 28 0|22344589 ! 178: 19 z|0000000000000000000 ! 179: .TE ! 180: .KE ! 181: .sp ! 182: *median = 16 (at depth 18h, since * = 36h) ! 183: .LP ! 184: E) STEM-and-LEAF and LETTER-VALUE for 1921-45 and 1948-67 ! 185: .KS ! 186: .ce 1000 ! 187: .TS ! 188: c s c s ! 189: n l n l . ! 190: 1921-45 1948-67 ! 191: 1 H|(71) 2 H|(H,116) ! 192: 2 5|6 5| ! 193: 3 4|2 4| ! 194: 4 3|0 4 3|41 ! 195: 2| 2| ! 196: 6 1|47 1|... ! 197: 7 0|9 7 0|322 ! 198: 12 z|000000000000 6 z|000000 ! 199: 6 -0|4584 -0| ! 200: 2 -1|5 -1| ! 201: -2| -2| ! 202: 1 -3|4 7 -3|15 ! 203: -4| -4| ! 204: -5| 5 -5|0 ! 205: L| 4 L|(L,-63,-80,-122) ! 206: .TE ! 207: .ce 0 ! 208: .KE ! 209: .KS ! 210: .TS ! 211: allbox center; ! 212: c c s s c c s s ! 213: n n n n n n n n . ! 214: *#=19=13+$12 over 2$ (zeroes/2) \*=17=14+$6 over 2)$ (zeroes/2) ! 215: *M10 0 *M9 0 ! 216: *H 5h 15h -4 19h *H5 3 -50 53 ! 217: *E 3 42 -8 50 *E3 34 -63 97 ! 218: .TE ! 219: .KE ! 220: .KS ! 221: .TS ! 222: box, center; ! 223: c c s s c c s s ! 224: l l l l l l l l . ! 225: 19h gives 29h 53 gives 79h ! 226: = ! 227: *F 45 -33h *F 82h -139h ! 228: *FF 74h -63 *FF 162 -219 ! 229: .TE ! 230: .KE ! 231: This is a long line of text whose only purpose is to tell me where the right margin ! 232: is on this page so the centering of the tables can be checked. ! 233: .KS ! 234: .TS ! 235: box; ! 236: c c c c ! 237: r l r l . ! 238: ! 239: outside: 56,71,-34 outside: 116,H,L ! 240: far out: _ far out: H,L ! 241: _ 42 and -15) _ 34 and -122) ! 242: .TE ! 243: .KE ! 244: .LP ! 245: .KS ! 246: F) STEM-and-LEAF and *-LETTER VALUES for SIZES of residuals in 1921-44 and 1948-67 ! 247: .TS ! 248: box; ! 249: c s c s ! 250: n l n l . ! 251: 1921-45 1948-67 ! 252: = ! 253: 1 H|(71) 6 H|(H,116,63,80,122,L) ! 254: _ ! 255: 2 5|6 7 5|0 ! 256: _ ! 257: 3 4|2 4| ! 258: _ ! 259: 3|04 11 3|1145 ! 260: 5 _ _ _ ! 261: 2| 2| ! 262: _ ! 263: 8 1|457 1| ! 264: _ ! 265: 13 0|44589 14 0|223 ! 266: _ ! 267: 12 z|000000000000 6 z|000000 ! 268: -0| ! 269: -1| ! 270: -2| ! 271: -3| ! 272: -4| ! 273: -5 ! 274: ! 275: .TE ! 276: .KE ! 277: .nf ! 278: .ta 30 ! 279: *median = 8 (at depth 10) *median = 34 (at depth 9) ! 280: *H = 23h (at depth 5h) *E = 80 (at depth 5) ! 281: .fi ! 282: .LP ! 283: P) PROBLEMS ! 284: .PP ! 285: 32a. Make stem-and-leaf displays, and find *M and *H for the SIZES ! 286: of residuals for periods 1921-33 and 1934-45. ! 287: How do they compare with each other and with 1948-67? How many groups ! 288: seem to be needed? What are they? ! 289: .PP ! 290: 32b. (Triple value) Repeat Panels (A), (B) and (F) for ! 291: started logs, using 100 log (1+suspended deposits in millions). ! 292: .PP ! 293: 32c. (After b) Do 32a for this new analysis.
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