1 00:00:00,000 --> 00:00:02,550 ♪ [音乐] ♪ 2 00:00:03,800 --> 00:00:05,800 - [旁白] 欢迎收看“诺奖得主畅谈系列” 3 00:00:07,040 --> 00:00:08,100 在这一集中 4 00:00:08,100 --> 00:00:11,570 Josh Angrist 和 Guido Imbens 与 Isaiah Andrews 5 00:00:11,570 --> 00:00:14,600 将讨论计量经济学领域是如何发展的 6 00:00:16,100 --> 00:00:18,750 - [Isaiah] 那么,Guido 和 Josh 7 00:00:18,750 --> 00:00:21,500 你们都是开发经济学实证研究工具的先驱 8 00:00:21,500 --> 00:00:23,174 所以我想了解你对这个领域的发展方向的想法 9 00:00:23,174 --> 00:00:25,300 10 00:00:25,709 --> 00:00:28,079 经济学、计量经济学,整个领域 11 00:00:28,510 --> 00:00:31,302 首先,我很想听听你是否觉得 12 00:00:32,171 --> 00:00:35,200 局部平均处理效应框架的方式 13 00:00:35,200 --> 00:00:38,510 14 00:00:38,800 --> 00:00:42,187 对经济学中的新经验法如何发展和传播 15 00:00:42,187 --> 00:00:44,300 或它们应如何发展和传播有任何榜样 16 00:00:44,560 --> 00:00:45,960 - [Josh] 这是个好问题 17 00:00:46,610 --> 00:00:47,790 你先说吧 18 00:00:47,790 --> 00:00:49,240 [笑声] 19 00:00:49,700 --> 00:00:52,940 - [Guido] 是的,所以我认为重要的是 20 00:00:52,940 --> 00:00:58,550 要提出令人信服的案例 21 00:00:58,550 --> 00:01:02,207 其中问题清晰 22 00:01:02,400 --> 00:01:05,720 且方法普遍适用 23 00:01:06,253 --> 00:01:07,560 有一件事我... 24 00:01:08,192 --> 00:01:12,000 当我回顾较新的文献时 25 00:01:12,200 --> 00:01:16,700 我真的很喜欢回归不连续性文献 26 00:01:16,700 --> 00:01:19,670 其中显然有一堆非常有说服力的例子 27 00:01:19,670 --> 00:01:23,378 这让人们可以更清晰地思考 28 00:01:23,378 --> 00:01:27,200 更仔细地研究方法问题 29 00:01:27,400 --> 00:01:28,800 有着一些清晰的应用方法 30 00:01:28,800 --> 00:01:30,600 然后允许你思考: 31 00:01:30,600 --> 00:01:33,600 “哇,这些类型的假设在这里看起来合理吗? 32 00:01:33,600 --> 00:01:38,000 我们不喜欢早期论文中的哪些方面? 33 00:01:38,500 --> 00:01:39,802 我们如何改进这些方面?” 34 00:01:39,802 --> 00:01:44,210 因此,我认为有着明确的应用方法 35 00:01:44,210 --> 00:01:46,400 来激发这些文献是非常有帮助的 36 00:01:46,800 --> 00:01:48,050 - Guido,我很高兴 你提到了回归不连续性 37 00:01:48,050 --> 00:01:49,382 38 00:01:49,382 --> 00:01:53,300 我认为 IV 和 RD、 39 00:01:54,700 --> 00:01:57,060 工具变量和回归不连续性之间有很多互补性 40 00:02:00,506 --> 00:02:03,260 回归不连续性的许多计量经济学应用 曾经被称为“模糊” RD 41 00:02:03,260 --> 00:02:04,520 42 00:02:04,520 --> 00:02:07,230 43 00:02:07,230 --> 00:02:11,620 它在截止时不是离散的或确定的 44 00:02:11,620 --> 00:02:14,900 而只在速率或强度上有着变化 45 00:02:14,900 --> 00:02:17,737 LATE 框架帮助我们理解这些应用方法 46 00:02:17,737 --> 00:02:18,740 47 00:02:18,740 --> 00:02:21,140 并为我们提供了一个清晰的解释 48 00:02:21,140 --> 00:02:25,000 比如在我与 Victor Lavy 的论文中 49 00:02:25,000 --> 00:02:28,100 我们使用了 Maimonides 规则 班级规模截断 50 00:02:28,430 --> 00:02:30,030 那么你这里了解到了什么? 51 00:02:30,290 --> 00:02:31,820 当然,你可以用线性常数效应模型 来回答这个问题 52 00:02:31,820 --> 00:02:33,900 53 00:02:34,200 --> 00:02:36,310 但事实证明我们并不局限于此 54 00:02:36,310 --> 00:02:39,889 RD 仍然非常强大和有启发性 55 00:02:40,630 --> 00:02:43,092 即使在这种情况和类型规模下 56 00:02:43,092 --> 00:02:45,866 截止和感兴趣的变量之间的相关性是局部的 57 00:02:45,866 --> 00:02:49,133 58 00:02:49,133 --> 00:02:51,000 甚至可能不是那么强 59 00:02:52,000 --> 00:02:54,999 所以肯定有着平行发展 60 00:02:54,999 --> 00:02:56,400 这也很有趣... 61 00:02:57,253 --> 00:02:59,780 当我们在读研究生时,没有人谈论回归不连续性设计 62 00:02:59,780 --> 00:03:01,220 63 00:03:01,220 --> 00:03:02,843 这是其他社会科学家感兴趣的东西 64 00:03:02,843 --> 00:03:05,300 65 00:03:05,800 --> 00:03:09,507 它与 LATE 框架一起成长 66 00:03:09,507 --> 00:03:11,927 我们都曾基于这两种应用方式和方法进行工作 67 00:03:11,927 --> 00:03:14,565 68 00:03:14,565 --> 00:03:18,377 而且能看到它的发展并变得如此重要 69 00:03:18,377 --> 00:03:19,800 我感到非常兴奋 70 00:03:20,000 --> 00:03:21,767 我认为,这是朝着可靠的识别策略 71 00:03:21,767 --> 00:03:26,086 因果效应的普遍演变的一部分 72 00:03:26,086 --> 00:03:27,441 73 00:03:29,393 --> 00:03:30,642 使计量经济学更多地关注 因果问题而不是模型 74 00:03:30,642 --> 00:03:33,300 75 00:03:33,640 --> 00:03:34,650 就未来而言 76 00:03:34,650 --> 00:03:37,660 我认为 LATE 帮助促进的一件事是 77 00:03:37,660 --> 00:03:42,008 朝着更具创造性的随机试验迈进 78 00:03:42,008 --> 00:03:44,400 其中有着一些有趣的东西 79 00:03:45,500 --> 00:03:48,460 它不可能或直接能被简单地关闭或开启 80 00:03:48,460 --> 00:03:50,700 81 00:03:51,000 --> 00:03:54,584 但你可以鼓励或阻止它 82 00:03:54,584 --> 00:03:58,200 因此,例如,你能通过经济援助 来补贴学校教育 83 00:03:59,000 --> 00:04:02,080 所以现在我们有了 一个完整的框架来解释这一点 84 00:04:03,600 --> 00:04:07,113 它打开了对以前似乎不可能的事情 进行随机试验的大门 85 00:04:07,113 --> 00:04:09,265 86 00:04:10,300 --> 00:04:12,471 87 00:04:14,500 --> 00:04:17,864 我们在麻省理工学院 Blueprint实验室中 88 00:04:17,864 --> 00:04:21,160 大量使用了这一点 89 00:04:22,360 --> 00:04:26,600 我认为,我们正在以 非常有创意的方式利用随机分配 90 00:04:28,100 --> 00:04:31,395 - [Isaiah] 与此相关,你是否看到 91 00:04:31,395 --> 00:04:34,445 有助于计量经济学研究的特定因素? 92 00:04:34,445 --> 00:04:38,443 你已经提到它与 实际出现的问题有明确的联系 93 00:04:38,443 --> 00:04:40,300 94 00:04:40,300 --> 00:04:42,862 并且经验实践通常是一个好主意 95 00:04:43,290 --> 00:04:45,000 - 这不是一个好主意吗? 96 00:04:45,700 --> 00:04:50,112 我经常发现自己坐在 一个计量经济学理论研讨会上 97 00:04:50,700 --> 00:04:52,500 比如哈佛麻省理工学院的研讨会 98 00:04:53,400 --> 00:04:56,350 我会想,“这个人在解决什么问题? 99 00:04:56,350 --> 00:04:57,960 谁面对这个问题?” 100 00:04:57,960 --> 00:04:59,800 而且,你知道… 101 00:05:01,600 --> 00:05:04,700 如果我问的话 有时会出现令人尴尬的沉默 102 00:05:04,900 --> 00:05:08,300 或者可能会有一个相当牵强的场景 103 00:05:08,800 --> 00:05:11,600 我想看看这个工具在哪里有用 104 00:05:12,500 --> 00:05:14,765 有一些是纯粹的基础工具 105 00:05:14,765 --> 00:05:16,250 我确实明白这一点 106 00:05:16,250 --> 00:05:21,735 有些人正在研究的概念基础 107 00:05:22,600 --> 00:05:25,300 它变得更像数理统计 108 00:05:25,800 --> 00:05:27,653 我的意思是,我记得一个较早的例子 109 00:05:27,653 --> 00:05:29,920 那就是我很难理解的随机等连续性的概念 110 00:05:29,920 --> 00:05:32,500 111 00:05:32,500 --> 00:05:35,070 我的论文顾问之一,Whitney Newey 112 00:05:35,070 --> 00:05:36,479 使用它取得了很好的效果 113 00:05:36,479 --> 00:05:38,821 我当时试图理解这一点 114 00:05:40,600 --> 00:05:42,034 这真的很基础 115 00:05:42,034 --> 00:05:45,200 驱动它的不是一个应用方法 116 00:05:45,890 --> 00:05:47,300 至少不是立即的 117 00:05:48,600 --> 00:05:53,200 但是大多数事情不是这样的 所以应该有着问题 118 00:05:53,800 --> 00:05:59,247 我认为这取决于这类事情的卖家 119 00:06:00,480 --> 00:06:02,250 因为有着机会成本、时间和注意力 120 00:06:02,250 --> 00:06:05,295 以及理解事情的努力 121 00:06:05,980 --> 00:06:07,200 卖家要说:“嘿,我正在解决这个问题,这里有一组结果表明它很有用,这是我得到的一些见解。” 122 00:06:07,400 --> 00:06:08,900 123 00:06:09,400 --> 00:06:12,900 124 00:06:12,900 --> 00:06:15,200 125 00:06:16,097 --> 00:06:18,280 - [以赛亚]正如你所说,乔希,已经朝着更多地考虑经济学中的因果关系和经济学中的实证工作的方向发展。 126 00:06:18,280 --> 00:06:20,700 127 00:06:20,700 --> 00:06:22,900 128 00:06:22,900 --> 00:06:26,570 这种观点的传播有什么让你感到惊讶的后果,或者你认为是经验经济学发展方式的不利因素吗? 129 00:06:26,570 --> 00:06:28,347 130 00:06:28,705 --> 00:06:31,500 131 00:06:31,500 --> 00:06:34,322 - 有时我看到有人做静脉注射,他们得到的结果似乎难以置信地大——这是通常的情况。 132 00:06:34,322 --> 00:06:38,304 133 00:06:38,800 --> 00:06:40,200 134 00:06:42,500 --> 00:06:45,220 因此,这可能是一些相对较小的干预造成的非常大的因果影响,这些干预是随机的,或者您可以证明存在一个好的设计。 135 00:06:45,220 --> 00:06:48,600 136 00:06:49,100 --> 00:06:52,260 137 00:06:52,260 --> 00:06:54,490 138 00:06:54,900 --> 00:06:57,205 然后当我看到这一点时,我认为我很难相信这种相对较小的干预会产生如此大的影响。 139 00:06:57,944 --> 00:07:00,101 140 00:07:00,101 --> 00:07:02,030 141 00:07:02,030 --> 00:07:03,720 142 00:07:04,100 --> 00:07:06,277 作者有时会诉诸局部平均治疗效果定理并说,“嗯,这些编译器——他们在某些方面很特别,他们只是从这种干预中受益匪浅。” 143 00:07:06,277 --> 00:07:08,690 144 00:07:08,690 --> 00:07:11,066 145 00:07:11,066 --> 00:07:12,700 146 00:07:13,300 --> 00:07:15,800 147 00:07:15,800 --> 00:07:17,600 148 00:07:18,100 --> 00:07:21,175 我不愿意从表面上看。 149 00:07:21,175 --> 00:07:23,750 我经常认为,当影响太大时,这是因为排除限制失败了,所以你真的没有正确的内生变量来衡量这个结果。 150 00:07:24,300 --> 00:07:26,780 151 00:07:26,780 --> 00:07:29,456 152 00:07:29,456 --> 00:07:31,380 153 00:07:32,000 --> 00:07:35,700 因此,我不太高兴看到一个通用的异质性论点被用来为我认为可能是一个更深层次的问题的事情辩解。 154 00:07:36,937 --> 00:07:39,692 155 00:07:40,022 --> 00:07:41,760 156 00:07:41,760 --> 00:07:43,800 157 00:07:45,190 --> 00:07:47,358 - [Guido] 我认为它在简化形式和结构方法之间的讨论中扮演了一个不幸的角色,我觉得这不太正确。 158 00:07:47,358 --> 00:07:50,083 159 00:07:50,083 --> 00:07:51,700 160 00:07:51,700 --> 00:07:55,510 161 00:07:56,090 --> 00:07:58,810 工具变量假设是关于行为的核心结构假设——它们来自经济……考虑代理人的经济行为,不知何故它被推向了一个我认为不是很有帮助的方向。 162 00:07:58,810 --> 00:08:01,510 163 00:08:01,510 --> 00:08:03,483 164 00:08:03,483 --> 00:08:05,200 165 00:08:07,100 --> 00:08:09,900 166 00:08:10,300 --> 00:08:15,100 167 00:08:15,100 --> 00:08:17,600 168 00:08:20,426 --> 00:08:21,663 我认为,最初,我们把事情写下来,描述正在发生的事情。 169 00:08:22,800 --> 00:08:24,067 170 00:08:24,067 --> 00:08:26,480 171 00:08:26,480 --> 00:08:29,783 人们使用了一套方法。 172 00:08:29,783 --> 00:08:32,111 我们以一种我认为包含相当多洞察力的方式阐明了这些方法的作用。 173 00:08:32,811 --> 00:08:38,361 174 00:08:39,100 --> 00:08:42,050 但它不知何故被推到了一个我认为不一定很有帮助的角落。 175 00:08:42,050 --> 00:08:45,379 176 00:08:45,379 --> 00:08:48,604 - 在简化形式与结构的语言中,我觉得有点有趣,因为局部平均治疗效果模型,潜在结果模型是非参数结构模型,如果你想像你建议的那样考虑它,Guido . 177 00:08:48,604 --> 00:08:50,306 178 00:08:50,306 --> 00:08:52,985 179 00:08:52,985 --> 00:08:54,154 180 00:08:54,154 --> 00:08:56,110 181 00:08:56,110 --> 00:08:58,600 182 00:08:58,600 --> 00:09:01,129 所以当—— 183 00:09:01,129 --> 00:09:03,505 184 00:09:03,505 --> 00:09:05,116 - [圭多] 是的。 - [Josh] 当然,这种语言来自我们继承的联立方程框架。 185 00:09:05,116 --> 00:09:08,371 186 00:09:08,371 --> 00:09:09,641 187 00:09:10,400 --> 00:09:11,440 它的优点是人们在你使用它时似乎知道你的意思,但这可能是不同的人听到不同的东西。 188 00:09:11,440 --> 00:09:14,085 189 00:09:14,085 --> 00:09:15,164 190 00:09:16,559 --> 00:09:18,300 191 00:09:18,300 --> 00:09:20,480 - [圭多] 是的。我认为简化形式已被用于贬义... 192 00:09:20,480 --> 00:09:22,200 193 00:09:22,200 --> 00:09:23,540 - [乔希] 有时。 ...这并不是它最初的目的。 194 00:09:25,104 --> 00:09:28,250 195 00:09:30,100 --> 00:09:33,090 - [以赛亚] 我想在思考局部平均治疗效果框架的影响时,还有一点让我印象深刻的是,人们通常会在远远超出任何形式的正式结果实际存在的环境中诉诸局部平均治疗效果直觉已确立的。 196 00:09:33,090 --> 00:09:35,645 197 00:09:35,645 --> 00:09:37,676 198 00:09:37,676 --> 00:09:40,000 199 00:09:40,000 --> 00:09:42,358 200 00:09:42,358 --> 00:09:44,963 201 00:09:45,440 --> 00:09:49,180 我很好奇,鉴于你们为在不同环境中建立 LATE 结果所做的所有工作,我很好奇,对此有什么想法吗? 202 00:09:49,180 --> 00:09:52,390 203 00:09:52,390 --> 00:09:54,415 204 00:09:55,360 --> 00:09:57,306 - 我认为在很多情况下直觉确实会让你保持距离,但它会受到一些限制,建立正式的结果可能会有点棘手,然后可能只在特殊情况下才有效,然后你就结束了有很多可能无法完全捕捉直觉的形式。 205 00:09:57,306 --> 00:10:02,200 206 00:10:02,800 --> 00:10:04,989 207 00:10:04,989 --> 00:10:07,600 208 00:10:08,400 --> 00:10:09,490 209 00:10:09,490 --> 00:10:12,700 210 00:10:14,600 --> 00:10:16,540 211 00:10:16,540 --> 00:10:19,500 212 00:10:19,900 --> 00:10:21,550 有时我对它们有些不安,它们不一定是我想写的论文,但我确实认为直觉通常确实抓住了问题的一部分。 213 00:10:21,550 --> 00:10:24,438 214 00:10:25,148 --> 00:10:27,819 215 00:10:27,819 --> 00:10:30,912 216 00:10:33,100 --> 00:10:36,300 我认为,从某种意义上说,我们很幸运,LATE 论文在期刊上得到了处理,所以,实际上,编辑把它缩短了很多,这让我们能够专注于非常清晰、清晰的结果。 217 00:10:36,900 --> 00:10:39,250 218 00:10:39,250 --> 00:10:41,766 219 00:10:42,100 --> 00:10:46,300 220 00:10:49,924 --> 00:10:51,770 计量经济学文献中有些不幸的趋势是论文越来越长。 221 00:10:51,770 --> 00:10:53,118 222 00:10:53,118 --> 00:10:54,870 223 00:10:54,870 --> 00:10:56,550 - 嗯,你应该能够解决这个问题,伙计。 224 00:10:56,550 --> 00:10:58,915 - 我正在努力解决这个问题。 [笑声] 225 00:10:58,915 --> 00:11:01,510 但我认为这是一个例子,很明显,它很短实际上是—— 226 00:11:01,510 --> 00:11:03,097 227 00:11:03,097 --> 00:11:04,750 - 你应该强制规定没有任何论文可以比 LATE 论文更长。 228 00:11:04,750 --> 00:11:06,802 229 00:11:07,269 --> 00:11:09,617 - 那……哇!那可能很棒。 230 00:11:09,617 --> 00:11:11,685 - 至少没有理论,没有理论论文。 231 00:11:11,892 --> 00:11:13,339 - 是的,我认为...... 232 00:11:14,500 --> 00:11:16,800 我正在努力让论文更短,我认为今天有很多价值,因为它通常是论文的第二部分实际上并没有让你得到太多进一步理解事物,它确实使事情变得更难阅读。 233 00:11:16,800 --> 00:11:19,514 234 00:11:19,514 --> 00:11:21,573 235 00:11:21,573 --> 00:11:25,049 236 00:11:25,049 --> 00:11:26,395 237 00:11:27,000 --> 00:11:29,870 238 00:11:32,426 --> 00:11:36,179 这可以追溯到我认为应该如何进行计量经济学。 239 00:11:36,179 --> 00:11:38,070 240 00:11:38,700 --> 00:11:41,300 241 00:11:41,500 --> 00:11:43,900 242 00:11:44,800 --> 00:11:48,900 243 00:11:48,900 --> 00:11:50,010 244 00:11:51,100 --> 00:11:54,670 245 00:11:56,260 --> 00:11:57,750 246 00:11:57,750 --> 00:12:00,230 247 00:12:00,230 --> 00:12:03,765 248 00:12:03,765 --> 00:12:04,994 249 00:12:04,994 --> 00:12:07,563 250 00:12:07,563 --> 00:12:09,840 251 00:12:09,840 --> 00:12:11,600 252 00:12:11,600 --> 00:12:13,950 253 00:12:14,600 --> 00:12:16,770 254 00:12:16,770 --> 00:12:21,000 255 00:12:21,800 --> 00:12:27,530 256 00:12:28,000 --> 00:12:29,300 257 00:12:29,300 --> 00:12:32,030 258 00:12:32,600 --> 00:12:35,500 259 00:12:35,500 --> 00:12:37,000 260 00:12:37,400 --> 00:12:42,362 261 00:12:43,228 --> 00:12:46,700 262 00:12:46,700 --> 00:12:49,250 263 00:12:49,250 --> 00:12:50,800 264 00:12:52,000 --> 00:12:54,250 265 00:12:54,250 --> 00:12:56,100 266 00:12:56,100 --> 00:12:59,736 267 00:12:59,736 --> 00:13:02,143 268 00:13:02,143 --> 00:13:04,290 269 00:13:04,800 --> 00:13:07,000 270 00:13:07,600 --> 00:13:09,501 271 00:13:09,920 --> 00:13:12,805 272 00:13:13,100 --> 00:13:15,400 273 00:13:15,900 --> 00:13:17,730 274 00:13:17,730 --> 00:13:19,231 275 00:13:19,231 --> 00:13:22,616 276 00:13:22,616 --> 00:13:25,100 277 00:13:25,230 --> 00:13:27,534 278 00:13:27,534 --> 00:13:30,900 279 00:13:31,700 --> 00:13:36,068 280 00:13:37,900 --> 00:13:41,190 281 00:13:41,190 --> 00:13:42,900 282 00:13:43,200 --> 00:13:47,280 283 00:13:47,280 --> 00:13:51,180 284 00:13:51,180 --> 00:13:53,272 285 00:13:54,906 --> 00:13:56,477 286 00:13:56,477 --> 00:13:59,300 287 00:13:59,643 --> 00:14:01,992 288 00:14:01,992 --> 00:14:05,657 289 00:14:05,657 --> 00:14:07,910 290 00:14:07,910 --> 00:14:09,557 291 00:14:10,100 --> 00:14:13,389 292 00:14:13,389 --> 00:14:14,688 293 00:14:16,300 --> 00:14:17,414 294 00:14:19,000 --> 00:14:21,700 295 00:14:22,120 --> 00:14:23,370 296 00:14:23,370 --> 00:14:26,780 297 00:14:27,200 --> 00:14:28,780 298 00:14:28,780 --> 00:14:32,836 299 00:14:33,370 --> 00:14:36,325 300 00:14:36,325 --> 00:14:37,807 301 00:14:37,807 --> 00:14:39,289 302 00:14:39,289 --> 00:14:42,100 303 00:14:44,846 --> 00:14:47,500 304 00:14:47,500 --> 00:14:49,467 305 00:14:49,467 --> 00:14:54,212 306 00:14:54,212 --> 00:14:56,920 307 00:14:56,920 --> 00:14:58,950 308 00:14:58,950 --> 00:15:01,140 309 00:15:01,140 --> 00:15:02,723 310 00:15:03,900 --> 00:15:07,630 311 00:15:07,630 --> 00:15:09,430 312 00:15:09,430 --> 00:15:12,730 313 00:15:12,730 --> 00:15:15,480 314 00:15:15,480 --> 00:15:16,800 315 00:15:17,100 --> 00:15:18,550 316 00:15:18,550 --> 00:15:20,900 317 00:15:22,104 --> 00:15:23,732 318 00:15:23,732 --> 00:15:26,783 319 00:15:26,783 --> 00:15:32,772 320 00:15:32,772 --> 00:15:35,595 321 00:15:35,595 --> 00:15:38,290 322 00:15:38,290 --> 00:15:40,300 323 00:15:40,300 --> 00:15:42,300 324 00:15:42,300 --> 00:15:44,400 325 00:15:44,400 --> 00:15:45,890 326 00:15:45,890 --> 00:15:48,200 327 00:15:49,100 --> 00:15:52,200 328 00:15:52,200 --> 00:15:53,675 329 00:15:53,675 --> 00:15:56,390 330 00:15:56,913 --> 00:15:59,400 331 00:15:59,980 --> 00:16:02,840 332 00:16:02,840 --> 00:16:05,112 333 00:16:05,112 --> 00:16:07,100 334 00:16:07,380 --> 00:16:08,900 335 00:16:10,200 --> 00:16:13,929 336 00:16:13,929 --> 00:16:15,950 337 00:16:15,950 --> 00:16:17,330 338 00:16:18,200 --> 00:16:21,241 339 00:16:21,241 --> 00:16:27,430 340 00:16:27,430 --> 00:16:31,600 341 00:16:31,600 --> 00:16:33,274 342 00:16:35,500 --> 00:16:38,600 343 00:16:38,600 --> 00:16:42,893 344 00:16:42,893 --> 00:16:46,330 345 00:16:46,330 --> 00:16:48,300 346 00:16:48,600 --> 00:16:51,500 347 00:16:52,718 --> 00:16:53,868 348 00:16:53,868 --> 00:16:56,920 349 00:16:56,920 --> 00:17:00,533 350 00:17:00,800 --> 00:17:03,240 351 00:17:03,240 --> 00:17:05,420 352 00:17:05,420 --> 00:17:07,600 353 00:17:07,600 --> 00:17:09,700 354 00:17:09,700 --> 00:17:13,370 355 00:17:15,110 --> 00:17:18,230 356 00:17:18,500 --> 00:17:22,900 357 00:17:23,400 --> 00:17:24,933 358 00:17:24,933 --> 00:17:27,570 359 00:17:27,570 --> 00:17:30,300 360 00:17:31,700 --> 00:17:35,204 361 00:17:35,204 --> 00:17:38,516 362 00:17:38,516 --> 00:17:43,400 363 00:17:44,600 --> 00:17:47,020 364 00:17:47,020 --> 00:17:48,200 365 00:17:48,200 --> 00:17:50,500 366 00:17:50,500 --> 00:17:53,100 367 00:17:53,700 --> 00:17:56,720 368 00:17:56,720 --> 00:17:58,300 369 00:17:59,036 --> 00:18:01,495