示例：数据矢量的 T 分数

函数 > 统计 > 概率分布 > 示例：数据矢量的 T 分数

示例：数据矢量的 T 分数

相对于指定的均值计算正态分布数据矢量的 t 分数。

1. 定义要分析的数据的矢量。

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        <real>7.07</real>
        <real>7.1</real>
        <real>7</real>
        <real>7.01</real>
        <real>6.98</real>
        <real>7</real>
        <real>6.97</real>
        <real>7.03</real>
        <real>7.01</real>
        <real>7.08</real>
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                <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">length</id>
                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">X</id>
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                          <math resultRef="80">
                            <define xmlns="http://schemas.mathsoft.com/math50">
                              <id xml:space="preserve" labels="*">m_s</id>
                              <apply>
                                <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">mean</id>
                                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">X</id>
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                            </define>
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                                <region id="" top="441.60000000000008" left="230.40000000000003" width="95.903333333333336" height="25.6">
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                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">m_s</id>
                                      <unitOverride>
                                        <placeholder />
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                                          <math resultRef="84">
                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                              <id xml:space="preserve" labels="*">s</id>
                                              <apply>
                                                <mult />
                                                <apply>
                                                  <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">stdev</id>
                                                  <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">X</id>
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                                                <apply>
                                                  <nthRoot />
                                                  <placeholder />
                                                  <apply>
                                                    <div />
                                                    <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">N</id>
                                                    <apply>
                                                      <minus />
                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">N</id>
                                                      <real>1</real>
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                                                  </apply>
                                                </apply>
                                              </apply>
                                            </define>
                                            <resultFormat>
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                                                  <math resultRef="86">
                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">s</id>
                                                      <unitOverride>
                                                        <placeholder />
                                                      </unitOverride>
                                                    </eval>
                                                    <resultFormat>
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                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                              <id xml:space="preserve" labels="VARIABLE">SEM</id>
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                                                                <div />
                                                                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">s</id>
                                                                <apply>
                                                                  <nthRoot />
                                                                  <placeholder />
                                                                  <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">N</id>
                                                                </apply>
                                                              </apply>
                                                            </define>
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                                                              <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                <region id="" top="556.80000000000007" left="230.40000000000003" width="103.56333333333333" height="25.6">
                                                                  <math resultRef="90">
                                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">SEM</id>
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                                                                        <placeholder />
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                                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                                              <id xml:space="preserve" labels="*">ν</id>
                                                                              <apply>
                                                                                <minus />
                                                                                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">N</id>
                                                                                <real>1</real>
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                                                                            </define>
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                                                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">ν</id>
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                                                                                          <math resultRef="96">
                                                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                              <id xml:space="preserve" labels="*">α</id>
                                                                                              <real>0.05</real>
                                                                                            </define>
                                                                                            <resultFormat>
                                                                                              <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                                                <region id="" top="787.20000000000016" left="38.400000000000006" width="41.86" height="25.6">
                                                                                                  <math resultRef="98">
                                                                                                    <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                                      <id xml:space="preserve" labels="*">μ</id>
                                                                                                      <real>7</real>
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                                                                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                                              <id xml:space="preserve" labels="*">t</id>
                                                                                                              <apply>
                                                                                                                <div />
                                                                                                                <apply>
                                                                                                                  <minus />
                                                                                                                  <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">m_s</id>
                                                                                                                  <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">μ</id>
                                                                                                                </apply>
                                                                                                                <apply>
                                                                                                                  <div />
                                                                                                                  <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">s</id>
                                                                                                                  <apply>
                                                                                                                    <nthRoot />
                                                                                                                    <placeholder />
                                                                                                                    <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">N</id>
                                                                                                                  </apply>
                                                                                                                </apply>
                                                                                                              </apply>
                                                                                                            </define>
                                                                                                            <resultFormat>
                                                                                                              <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                                                                <region id="" top="1017.6000000000001" left="38.400000000000006" width="74.433333333333337" height="25.6">
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                                                                                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">t</id>
                                                                                                                      <unitOverride>
                                                                                                                        <placeholder />
                                                                                                                      </unitOverride>
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                                                                                                                    <resultFormat>
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                                                                                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                              <id xml:space="preserve" labels="*">P</id>
                                                                                                                              <apply>
                                                                                                                                <mult />
                                                                                                                                <real>2</real>
                                                                                                                                <parens>
                                                                                                                                  <apply>
                                                                                                                                    <minus />
                                                                                                                                    <real>1</real>
                                                                                                                                    <apply>
                                                                                                                                      <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">pt</id>
                                                                                                                                      <sequence>
                                                                                                                                        <apply>
                                                                                                                                          <absval />
                                                                                                                                          <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">t</id>
                                                                                                                                        </apply>
                                                                                                                                        <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">ν</id>
                                                                                                                                      </sequence>
                                                                                                                                    </apply>
                                                                                                                                  </apply>
                                                                                                                                </parens>
                                                                                                                              </apply>
                                                                                                                            </define>
                                                                                                                            <resultFormat>
                                                                                                                              <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                                                                                <region id="" top="1267.2000000000003" left="38.400000000000006" width="78.876666666666665" height="25.6">
                                                                                                                                  <math resultRef="106">
                                                                                                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                      <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">P</id>
                                                                                                                                      <unitOverride>
                                                                                                                                        <placeholder />
                                                                                                                                      </unitOverride>
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                                                                                                                                    <resultFormat>
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                                                                                                                                          <math resultRef="108">
                                                                                                                                            <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                              <apply>
                                                                                                                                                <lessOrEqual />
                                                                                                                                                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">P</id>
                                                                                                                                                <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">α</id>
                                                                                                                                              </apply>
                                                                                                                                              <unitOverride>
                                                                                                                                                <placeholder />
                                                                                                                                              </unitOverride>
                                                                                                                                            </eval>
                                                                                                                                            <resultFormat>
                                                                                                                                              <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
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                                                                                                                                                  <math resultRef="110">
                                                                                                                                                    <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                                      <id xml:space="preserve" labels="*">crit</id>
                                                                                                                                                      <apply>
                                                                                                                                                        <absval />
                                                                                                                                                        <apply>
                                                                                                                                                          <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">qt</id>
                                                                                                                                                          <sequence>
                                                                                                                                                            <apply>
                                                                                                                                                              <div />
                                                                                                                                                              <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">α</id>
                                                                                                                                                              <real>2</real>
                                                                                                                                                            </apply>
                                                                                                                                                            <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">ν</id>
                                                                                                                                                          </sequence>
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                                                                                                                                                    <resultFormat>
                                                                                                                                                      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                                                                                                        <region id="" top="1632.0000000000002" left="38.400000000000006" width="93.396666666666675" height="25.6">
                                                                                                                                                          <math resultRef="112">
                                                                                                                                                            <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                                              <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">crit</id>
                                                                                                                                                              <unitOverride>
                                                                                                                                                                <placeholder />
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                                                                                                                                                                  <math resultRef="114">
                                                                                                                                                                    <eval xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                                                      <apply>
                                                                                                                                                                        <greaterThan />
                                                                                                                                                                        <apply>
                                                                                                                                                                          <absval />
                                                                                                                                                                          <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">t</id>
                                                                                                                                                                        </apply>
                                                                                                                                                                        <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">crit</id>
                                                                                                                                                                      </apply>
                                                                                                                                                                      <unitOverride>
                                                                                                                                                                        <placeholder />
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                                                                                                                                                                    </eval>
                                                                                                                                                                    <resultFormat>
                                                                                                                                                                      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false">
                                                                                                                                                                        <region id="" top="1804.8000000000002" left="38.400000000000006" width="186.41666666666669" height="25.6">
                                                                                                                                                                          <math resultRef="116">
                                                                                                                                                                            <define xmlns="http://schemas.mathsoft.com/math50">
                                                                                                                                                                              <function>
                                                                                                                                                                                <id xml:space="preserve" labels="VARIABLE">student</id>
                                                                                                                                                                                <boundVars>
                                                                                                                                                                                  <id xml:space="preserve" labels="VARIABLE">x</id>
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                                                                                                                                                                              <apply>
                                                                                                                                                                                <id xml:space="preserve" labels="FUNCTION" label-is-contextual="true">Re</id>
                                                                                                                                                                                <apply>
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                                                                                                                                                                                  <sequence>
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                                                                                                                                                                                    <id xml:space="preserve" labels="VARIABLE" label-is-contextual="true">ν</id>
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                                                                                                                                                                                  <plot origin-positioning="true" background-type="white">
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                                                                                                                                                                                            <trace num-of-points="500" resultRef="118">
                                                                                                                                                                                              <traceStyle color="#FF00008B" symbol="none" line-weight="1" line-style="Solid">lines<axes><xAxis rank="1" legend-position="PlotBoundaryBottom" start="-4" end="4"><axisLine position="ticknumberlock" positionticmark="0" legendWidth="60.93"><axisGrid><gridFrequency>9<gridLabels display="true"><gridLines><tickMarks display="true"><axisLabel><markers><id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">crit</id><id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">t</id><numberFormat><general precision="3" show-trailing-zeros="false" radix="dec" zero-threshold="15" imaginary-value="i" exponential-threshold="3"><plotEquations><plotEquation><math resultRef="129"><id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">x</id><math resultRef="130"><placeholder xmlns="http://schemas.mathsoft.com/math50" /><xyDomain scale-type="linear" auto-scale="true"><startValue resultRef="124"><real xmlns="http://schemas.mathsoft.com/math50">-4</real><secondTickValue resultRef="126"><real xmlns="http://schemas.mathsoft.com/math50">-3</real><endValue resultRef="128"><real xmlns="http://schemas.mathsoft.com/math50">4</real><yAxis rank="1" legend-position="PlotBoundaryLeft" start="0" end="0.4"><axisLine position="origin" positionticmark="4" legendWidth="127.05"><axisGrid><gridFrequency>5<gridLabels display="true"><gridLines><tickMarks display="true"><axisLabel><markers><numberFormat><general precision="3" show-trailing-zeros="false" radix="dec" zero-threshold="15" imaginary-value="i" exponential-threshold="3"><plotEquations><plotEquation><math resultRef="135"><apply xmlns="http://schemas.mathsoft.com/math50"><id xml:space="preserve">student</id><id xml:space="preserve">x</id></apply><math resultRef="136"><placeholder xmlns="http://schemas.mathsoft.com/math50" /><xyDomain scale-type="linear" auto-scale="true"><startValue resultRef="132"><real xmlns="http://schemas.mathsoft.com/math50">0.0</real><secondTickValue resultRef="134"><real xmlns="http://schemas.mathsoft.com/math50">0.1</real><endValue><placeholder xmlns="http://schemas.mathsoft.com/math50" /></endValue></secondTickValue></startValue></xyDomain></math></math></plotEquation></plotEquations></general></numberFormat></markers></axisLabel></tickMarks></gridLines></gridLabels></gridFrequency></axisGrid></axisLine></yAxis></endValue></secondTickValue></startValue></xyDomain></math></math></plotEquation></plotEquations></general></numberFormat></markers></axisLabel></tickMarks></gridLines></gridLabels></gridFrequency></axisGrid></axisLine></xAxis></axes></traceStyle>
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2. 收集样本统计信息。